413607153072960 has 672 divisors, whose sum is σ = 1830891786706944. Its totient is φ = 83171943936000.

The previous prime is 413607153072943. The next prime is 413607153073013. The reversal of 413607153072960 is 69270351706314.

413607153072960 is a `hidden beast` number, since 4 + 1 + 3 + 607 + 1 + 5 + 3 + 0 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 413607153072897 and 413607153072906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23207886 + ... + 36957005.

Almost surely, 2^{413607153072960} is an apocalyptic number.

413607153072960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413607153072960 is an abundant number, since it is smaller than the sum of its proper divisors (1417284633633984).

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

413607153072960 is a wasteful number, since it uses less digits than its factorization.

413607153072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60164963 (or 60164950 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 413607153072960 in words is "four hundred thirteen trillion, six hundred seven billion, one hundred fifty-three million, seventy-two thousand, nine hundred sixty".