413624326160 has 80 divisors (see below), whose sum is σ = 966499233840. Its totient is φ = 164621844480.

The previous prime is 413624326127. The next prime is 413624326177. The reversal of 413624326160 is 61623426314.

It can be written as a sum of positive squares in 8 ways, for example, as 51971232784 + 361653093376 = 227972^2 + 601376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15011276 + ... + 15038804.

It is an arithmetic number, because the mean of its divisors is an integer number (12081240423).

Almost surely, 2^413624326160 is an apocalyptic number.

413624326160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413624326160 is an abundant number, since it is smaller than the sum of its proper divisors (552874907680).

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

413624326160 is a wasteful number, since it uses less digits than its factorization.

413624326160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28476 (or 28470 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 413624326160 in words is "four hundred thirteen billion, six hundred twenty-four million, three hundred twenty-six thousand, one hundred sixty".