412507720960 has 36 divisors (see below), whose sum is σ = 988084903428. Its totient is φ = 165003087872.

The previous prime is 412507720931. The next prime is 412507720973. The reversal of 412507720960 is 69027705214.

It can be written as a sum of positive squares in 2 ways, for example, as 66086013184 + 346421707776 = 257072^2 + 588576^2 .

It is a super-2 number, since 2×412507720960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161134549 + ... + 161137108.

It is an arithmetic number, because the mean of its divisors is an integer number (27446802873).

Almost surely, 2^412507720960 is an apocalyptic number.

412507720960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412507720960 is an abundant number, since it is smaller than the sum of its proper divisors (575577182468).

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

412507720960 is an equidigital number, since it uses as much as digits as its factorization.

412507720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322271678 (or 322271664 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 412507720960 in words is "four hundred twelve billion, five hundred seven million, seven hundred twenty thousand, nine hundred sixty".