414900037416 has 64 divisors (see below), whose sum is σ = 1060724160000. Its totient is φ = 135196331456.

The previous prime is 414900037393. The next prime is 414900037421. The reversal of 414900037416 is 614730009414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564996 + ... + 1071923.

It is an arithmetic number, because the mean of its divisors is an integer number (16573815000).

Almost surely, 2^414900037416 is an apocalyptic number.

It is an amenable number.

414900037416 is an abundant number, since it is smaller than the sum of its proper divisors (645824122584).

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

414900037416 is a wasteful number, since it uses less digits than its factorization.

414900037416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637166 (or 1637162 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 414900037416 in words is "four hundred fourteen billion, nine hundred million, thirty-seven thousand, four hundred sixteen".