382005494956800 has 1296 divisors, whose sum is σ = 1614373749800448. Its totient is φ = 84959008358400.

The previous prime is 382005494956769. The next prime is 382005494956801. The reversal of 382005494956800 is 8659494500283.

382005494956800 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 0 + 549 + 4 + 9 + 5 + 6 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (382005494956801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1342456137 + ... + 1342740663.

Almost surely, 2^{382005494956800} is an apocalyptic number.

382005494956800 is a gapful number since it is divisible by the number (30) 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 382005494956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807186874900224).

382005494956800 is an abundant number, since it is smaller than the sum of its proper divisors (1232368254843648).

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

382005494956800 is a wasteful number, since it uses less digits than its factorization.

382005494956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284746 (or 284724 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 382005494956800 in words is "three hundred eighty-two trillion, five billion, four hundred ninety-four million, nine hundred fifty-six thousand, eight hundred".