413625616640 has 72 divisors (see below), whose sum is σ = 1017540094200. Its totient is φ = 160978599936.

The previous prime is 413625616627. The next prime is 413625616661. The reversal of 413625616640 is 46616526314.

It can be written as a sum of positive squares in 4 ways, for example, as 57684510976 + 355941105664 = 240176^2 + 596608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413625616591 and 413625616600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4319465 + ... + 4414184.

Almost surely, 2^413625616640 is an apocalyptic number.

413625616640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413625616640 is an abundant number, since it is smaller than the sum of its proper divisors (603914477560).

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

413625616640 is an equidigital number, since it uses as much as digits as its factorization.

413625616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733707 (or 8733693 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 413625616640 in words is "four hundred thirteen billion, six hundred twenty-five million, six hundred sixteen thousand, six hundred forty".