414264304025136 has 120 divisors (see below), whose sum is σ = 1181852203207104. Its totient is φ = 135427845928320.

The previous prime is 414264304025083. The next prime is 414264304025237. The reversal of 414264304025136 is 631520403462414.

414264304025136 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 64 + 30 + 40 + 2 + 513 + 6 = 666.

It is a super-2 number, since 2×414264304025136² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414264304025091 and 414264304025100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92386650 + ... + 96766841.

Almost surely, 2^{414264304025136} is an apocalyptic number.

It is an amenable number.

414264304025136 is an abundant number, since it is smaller than the sum of its proper divisors (767587899181968).

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

414264304025136 is a wasteful number, since it uses less digits than its factorization.

414264304025136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189153799 (or 189153790 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 414264304025136 in words is "four hundred fourteen trillion, two hundred sixty-four billion, three hundred four million, twenty-five thousand, one hundred thirty-six".