My guess it that this home had an all-electric kitchen, and perhaps the whole home was all-electric, from 1940 onward. Back then all-electric was a more pricey way to go, but certainly not out of the question, esp for a luxury home like this one.
I see air conditioning vents high in the walls above most of the common area rooms. Perhaps there was a heat exchanger in the setup as well, but the high placement of any heated air coming from those registers likely needed to be supplemented by the various wall electric heaters pictured in the slide show. I didn't see any floor or lower wall registers that would be characteristic of gas fired forced air heating.
It's not too surprising that the various kitchen appliances have been replaced over the years. I'm still thinking that custom cooktop is pretty old, though. There are various retro-look modern appliances like fridges etc that could be fitted to maintain the 40's look. I suspect a round window Western wall oven would fit in quite well there, LOL. Given all that vintage woodwork in the kitchen, I tend to doubt that it ever had a free-standing range, gas or electric.
Personally I prefer free-standing ranges to the cooktop/wall oven combination. Unfortunately my '41 home had its kitchen extensively remodeled in the 60's. A wall separating it from a side door and a bedroom was removed, and a cooktop peninsula put in its place. The bedroom/side entry was turned into a family room open to the kitchen. Where the range once was, (the remnants of a gas stove pipe are still in the attic above) was fitted with floor to ceiling cabinetry holding a wall oven and cupboards, and a nook for a 36" wide fridge created between those cabinets and a wall. New cabinets and countertops around the peninsula and adjacent sink were added, with space for a dishwasher. It looks nice enough, finished in birch veneer, but I'd much rather have the older setup, which would allow for a restored Wedgewood or O'Keefe & Merritt gas range.
I tried to locate the real estate listing for the Levitt home to see how it classified the utilities/heating, but had no luck. The address has been shielded for "privacy concerns".
As for lot size, the home itself takes up only about 1/4 of the lot space. The pool area is large, however, and it looks like a substantial 2+ car garage is included. The ivy covered front hillside is basically wasted garden space. If it were me I'd have all that awful ivy ripped out and replaced with drought friend native vegetation, and maybe a few irrigated veggie patches. No doubt the drainage would be good!
Anybody else notice the torn green fabric awning on the left front of the home, that shades the family room? It's hanging down in one interior photo, and then it looks like it was removed or pinned up in the shot from the street.
