411640294464 has 945 divisors, whose sum is σ = 1520785458423. Its totient is φ = 109758426624.

The previous prime is 411640294451. The next prime is 411640294523. The reversal of 411640294464 is 464492046114.

It is a happy number.

The square root of 411640294464 is 641592.

It is a perfect power (a square), and thus also a powerful number.

411640294464 is a `hidden beast` number, since 4 + 1 + 164 + 0 + 29 + 4 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6143884959 + ... + 6143885025.

Almost surely, 2^411640294464 is an apocalyptic number.

411640294464 is the 641592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411640294464

411640294464 is an abundant number, since it is smaller than the sum of its proper divisors (1109145163959).

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

411640294464 is an equidigital number, since it uses as much as digits as its factorization.

411640294464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 411640294464 in words is "four hundred eleven billion, six hundred forty million, two hundred ninety-four thousand, four hundred sixty-four".