413872142976 has 64 divisors (see below), whose sum is σ = 1221497654400. Its totient is φ = 137957379840.

The previous prime is 413872142953. The next prime is 413872142993. The reversal of 413872142976 is 679241278314.

413872142976 is a `hidden beast` number, since 4 + 138 + 7 + 214 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×413872142976² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 7 ways as a sum of consecutive naturals, for example, 59873880 + ... + 59880791.

It is an arithmetic number, because the mean of its divisors is an integer number (19085900850).

Almost surely, 2^413872142976 is an apocalyptic number.

It is an amenable number.

413872142976 is an abundant number, since it is smaller than the sum of its proper divisors (807625511424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413872142976 is a wasteful number, since it uses less digits than its factorization.

413872142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119754694 (or 119754676 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 413872142976 in words is "four hundred thirteen billion, eight hundred seventy-two million, one hundred forty-two thousand, nine hundred seventy-six".