382400902656 has 120 divisors (see below), whose sum is σ = 1107187711344. Its totient is φ = 127056629760.

The previous prime is 382400902649. The next prime is 382400902673. The reversal of 382400902656 is 656209004283.

382400902656 is a `hidden beast` number, since 382 + 4 + 0 + 0 + 9 + 0 + 265 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299670 + ... + 1566506.

Almost surely, 2^382400902656 is an apocalyptic number.

382400902656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382400902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553593855672).

382400902656 is an abundant number, since it is smaller than the sum of its proper divisors (724786808688).

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

382400902656 is a wasteful number, since it uses less digits than its factorization.

382400902656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267172 (or 267153 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 382400902656 in words is "three hundred eighty-two billion, four hundred million, nine hundred two thousand, six hundred fifty-six".