382516325640 has 128 divisors (see below), whose sum is σ = 1282690080000. Its totient is φ = 101393501184.

The previous prime is 382516325603. The next prime is 382516325663. The reversal of 382516325640 is 46523615283.

382516325640 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 1 + 632 + 5 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×382516325640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880065 + ... + 1240784.

It is an arithmetic number, because the mean of its divisors is an integer number (10021016250).

Almost surely, 2^382516325640 is an apocalyptic number.

382516325640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382516325640 is an abundant number, since it is smaller than the sum of its proper divisors (900173754360).

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

382516325640 is a wasteful number, since it uses less digits than its factorization.

382516325640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121036 (or 2121026 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 382516325640 in words is "three hundred eighty-two billion, five hundred sixteen million, three hundred twenty-five thousand, six hundred forty".