414504321201 has 12 divisors (see below), whose sum is σ = 607161260160. Its totient is φ = 272444154360.

The previous prime is 414504321181. The next prime is 414504321229. The reversal of 414504321201 is 102123405414.

414504321201 is a `hidden beast` number, since 4 + 1 + 4 + 504 + 32 + 120 + 1 = 666.

It is not a de Polignac number, because 414504321201 - 2⁵ = 414504321169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414504321001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324337641 + ... + 324338918.

It is an arithmetic number, because the mean of its divisors is an integer number (50596771680).

Almost surely, 2^414504321201 is an apocalyptic number.

It is an amenable number.

414504321201 is a deficient number, since it is larger than the sum of its proper divisors (192656938959).

414504321201 is a wasteful number, since it uses less digits than its factorization.

414504321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648676636 (or 648676633 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414504321201 its reverse (102123405414), we get a palindrome (516627726615).

The spelling of 414504321201 in words is "four hundred fourteen billion, five hundred four million, three hundred twenty-one thousand, two hundred one".