At the beginning of the episode, McGarret is having his palm read by a very pretty girl, who announces that he has a very long life line, and has at least another 30 years left to live. This episode was filmed in 1968, and this particular scene is slightly creepy, as Jack Lord passed away in 1998, exactly 30 years after this episode aired.
The title is from a line in the nursery rhyme about Humpty Dumpty: "All the king's horses and all the king's men..."