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.
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.
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 "The Ladies Man (1961)."
At the end when Jerry is showing he kid how to put up the poster, the names of the people in the picture are a play on words.