A scene of note with Jerry Lewis chewing out an imaginary board room, all done in mime with music background, the music is "Blues in Hoss' Flat" popularised by the Count Basie and His Orchestra. A recording of it can be heard in Basie's March 1960 Paris concert, and there may be other recordings of it as well.
Joe Besser was struggling for work at this time, and friend Lewis gave him a small role. It paid off well for Besser, who met Joey Bishop on the set, and wound up with a co-starring role on "The Joey Bishop Show" (1961) for the next few years.
The poster says screen play by Joseph Levitch. That's Jerry Lewis's real name.
In the scene where Anastasia Anastasia toasts a dead man, the portrait of the man she's toasting is Francis X. Bushman, a matinee idol of the Silent Age of film, whose career continued well into the 1960s with such films as "Sabrina" (1954). This was not the only time Jerry Lewis requested Bushman in one of his films, as a portrait also appears in his film "O Terror das Mulheres (1961)."
When speaking at an Academy tribute to his career in the 1980s, Jerry Lewis cited this as being among his own favorites of all of his films.