Number Series Puzzle

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?




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You along with your friend are standing in front of two houses. Each of those houses inhabits a family with two children.

Your friend tells you the below two facts:
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2) On the right is a family with a seven-year-old boy and a newborn baby.

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First Second Third Forth Fifth Sixth Seventh, Eighth Nine Ten Eleven Twelve.

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Amazing Facts

No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki