From 1956 to 1966, Ferrari built several series of larger cars to customer order only. Not just any customer could order one of these cars; you had to have a relationship with Ferrari or be royalty to get in the door.
The 410SA Super America was the initial offering, and 32 were built from 1956 to 1959. Early cars had long wheelbases, while later cars were more compact. The 410SAs were all powered by a 5-liter V-12 engine rated at 340 hp. Despite the power, they were not the quickest of Ferrari's offerings, as various models of the 250GT were far lighter. All the Super Americas were large, heavy cars emphasizing luxury as well as performance.
In 1960, the 400SA replaced the 410. The 400SA featured a smaller 4-liter engine rated by Ferrari at 340 hp (but one wonders...) Basically the 400SA was a similar car to the popular 250GT 2+2 but with a larger engine and more luxurious trim. Again, all cars were made to order and varied in many details. 36 400SAs were built by 1963, including several cabriolets. Most of the cabrios featured chrome rocker panels.
(Note that the attached data panel is for a car that has aftermarket modifications to the engine.)
In 1964, the 5-liter V-12 returned in the 500 Superfast. Now the big V-12 was rated at 400 hp. The 500SF chassis was based on the 330GT 2+2. 37 cars were built before production ceased in 1966.