Tony Banks (Jackie Gleason), a retired mob "torpedo" (hitman), now settled with wife Flo (Carol Channing) and daughter Darlene (Alexandra Hay), worries about his daughter's new hippie boyfriend Stash (John Phillip Law), and his own paternity of Darlene. A father-and-son pair of mob bosses, Hechy (Cesar Romero) and Angie (Frankie Avalon), bring Tony the news that top mobster "God" (Groucho Marx) wants him to carry out one last job – liquidating his old pal, "Blue Chips" Packard (Mickey Rooney), before Packard can testify before the US Senate's Crime Commission. Tony refuses, but upon discovering another old friend, Harry (Arnold Stang), shot through the head, goes along with God's wishes and, now wearing a convict's striped outfit, finds himself in the island prison of Alcatraz, a futuristic, high-tech institution where Packard is held under top-level protection.