That'll be a colourful necklace

Sue is trying to make herself a necklace. She has 41 beads, each of which are a different colour. How many different necklaces can she make?


Details and Assumptions:

  1. Arrangements with the same cyclic order are said to be the same.

  2. A necklace is the same as another if you can flip one over to get the same necklace as the other.

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