382121240256 has 672 divisors, whose sum is σ = 1403644802560. Its totient is φ = 100615716864.

The previous prime is 382121240243. The next prime is 382121240261. The reversal of 382121240256 is 652042121283.

382121240256 is a `hidden beast` number, since 3 + 82 + 121 + 2 + 402 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 382121240256.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76528896 + ... + 76533888.

Almost surely, 2^382121240256 is an apocalyptic number.

382121240256 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 382121240256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701822401280).

382121240256 is an abundant number, since it is smaller than the sum of its proper divisors (1021523562304).

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

382121240256 is a wasteful number, since it uses less digits than its factorization.

382121240256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 382121240256 in words is "three hundred eighty-two billion, one hundred twenty-one million, two hundred forty thousand, two hundred fifty-six".