431664401601004 has 24 divisors (see below), whose sum is σ = 887477860635408. Its totient is φ = 181117930741440.

The previous prime is 431664401600923. The next prime is 431664401601067. The reversal of 431664401601004 is 400106104466134.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377329021807 + ... + 377329022950.

It is an arithmetic number, because the mean of its divisors is an integer number (36978244193142).

Almost surely, 2^{431664401601004} is an apocalyptic number.

431664401601004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431664401601004 is an abundant number, since it is smaller than the sum of its proper divisors (455813459034404).

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

431664401601004 is a wasteful number, since it uses less digits than its factorization.

431664401601004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754658044785 (or 754658044783 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 431664401601004 in words is "four hundred thirty-one trillion, six hundred sixty-four billion, four hundred one million, six hundred one thousand, four".