410101913664 has 63 divisors (see below), whose sum is σ = 1175527144623. Its totient is φ = 136695514752.

The previous prime is 410101913653. The next prime is 410101913821. The reversal of 410101913664 is 466319101014.

The square root of 410101913664 is 640392.

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

410101913664 is a `hidden beast` number, since 4 + 101 + 0 + 191 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15356067 + ... + 15382749.

Almost surely, 2^410101913664 is an apocalyptic number.

410101913664 is the 640392-nd square number.

It is an amenable number.

410101913664 is an abundant number, since it is smaller than the sum of its proper divisors (765425230959).

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

410101913664 is an frugal number, since it uses more digits than its factorization.

410101913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53384 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 410101913664 by its sum of digits (36), we get a square (14763668891904 = 3842352²).

410101913664 divided by its sum of digits (36) gives a square (11391719824 = 106732²).

The spelling of 410101913664 in words is "four hundred ten billion, one hundred one million, nine hundred thirteen thousand, six hundred sixty-four".