413642868075 has 576 divisors, whose sum is σ = 889143091200. Its totient is φ = 189684633600.

The previous prime is 413642868049. The next prime is 413642868103. The reversal of 413642868075 is 570868246314.

It is a happy number.

413642868075 is a `hidden beast` number, since 4 + 136 + 428 + 6 + 80 + 7 + 5 = 666.

It is not a de Polignac number, because 413642868075 - 2⁵ = 413642868043 is a prime.

It is a super-2 number, since 2×413642868075² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4647672631 + ... + 4647672719.

It is an arithmetic number, because the mean of its divisors is an integer number (1543651200).

Almost surely, 2^413642868075 is an apocalyptic number.

413642868075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413642868075 is an abundant number, since it is smaller than the sum of its proper divisors (475500223125).

413642868075 is a wasteful number, since it uses less digits than its factorization.

413642868075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 413642868075 in words is "four hundred thirteen billion, six hundred forty-two million, eight hundred sixty-eight thousand, seventy-five".