414026401264 has 80 divisors (see below), whose sum is σ = 970834666176. Its totient is φ = 166979174400.

The previous prime is 414026401183. The next prime is 414026401279. The reversal of 414026401264 is 462104620414.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23145604 + ... + 23163484.

Almost surely, 2^414026401264 is an apocalyptic number.

It is an amenable number.

414026401264 is an abundant number, since it is smaller than the sum of its proper divisors (556808264912).

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

414026401264 is a wasteful number, since it uses less digits than its factorization.

414026401264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30074 (or 30068 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 414026401264 in words is "four hundred fourteen billion, twenty-six million, four hundred one thousand, two hundred sixty-four".