414413217160 has 32 divisors (see below), whose sum is σ = 941661725400. Its totient is φ = 164124044800.

The previous prime is 414413217133. The next prime is 414413217191. The reversal of 414413217160 is 61712314414.

It can be written as a sum of positive squares in 4 ways, for example, as 399557995236 + 14855221924 = 632106^2 + 121882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51284725 + ... + 51292804.

Almost surely, 2^414413217160 is an apocalyptic number.

414413217160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414413217160 is an abundant number, since it is smaller than the sum of its proper divisors (527248508240).

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

414413217160 is a wasteful number, since it uses less digits than its factorization.

414413217160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102577641 (or 102577637 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 414413217160 in words is "four hundred fourteen billion, four hundred thirteen million, two hundred seventeen thousand, one hundred sixty".