382521811794480 has 240 divisors, whose sum is σ = 1305784745219136. Its totient is φ = 100326720890880.

The previous prime is 382521811794433. The next prime is 382521811794481. The reversal of 382521811794480 is 84497118125283.

382521811794480 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 2 + 1 + 81 + 1 + 79 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (382521811794481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657762714 + ... + 658344006.

Almost surely, 2^{382521811794480} is an apocalyptic number.

382521811794480 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 382521811794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652892372609568).

382521811794480 is an abundant number, since it is smaller than the sum of its proper divisors (923262933424656).

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

382521811794480 is a wasteful number, since it uses less digits than its factorization.

382521811794480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596356 (or 596347 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 382521811794480 in words is "three hundred eighty-two trillion, five hundred twenty-one billion, eight hundred eleven million, seven hundred ninety-four thousand, four hundred eighty".