414676363464 has 96 divisors (see below), whose sum is σ = 1266114780000. Its totient is φ = 125659496160.

The previous prime is 414676363429. The next prime is 414676363477. The reversal of 414676363464 is 464363676414.

414676363464 is a `hidden beast` number, since 4 + 1 + 4 + 67 + 63 + 63 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 414676363464.

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, 7906914 + ... + 7959185.

It is an arithmetic number, because the mean of its divisors is an integer number (13188695625).

Almost surely, 2^414676363464 is an apocalyptic number.

414676363464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

414676363464 is an abundant number, since it is smaller than the sum of its proper divisors (851438416536).

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

414676363464 is a wasteful number, since it uses less digits than its factorization.

414676363464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15866136 (or 15866115 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 54.

The spelling of 414676363464 in words is "four hundred fourteen billion, six hundred seventy-six million, three hundred sixty-three thousand, four hundred sixty-four".