The White House switchboard constant is the name given by Munroe (2012) to the constant
(1)
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(2)
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(OEIS A182064), the first few digits of which are 202-456-1414, which is the phone number of the switchboard of the White House (home of U.S. President).
Other "simple" expressions that might vie for that moniker include
(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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(11)
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(12)
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where is the Euler-Mascheroni constant, all of which are "better" than the canonical White House switchboard expression (E. Weisstein, Jul. 13, 2013).