381043982592000 has 4608 divisors, whose sum is σ = 1813179670848000. Its totient is φ = 78189782630400.

The previous prime is 381043982591983. The next prime is 381043982592011. The reversal of 381043982592000 is 295289340183.

381043982592000 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 43 + 9 + 8 + 2 + 592 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162908926831 + ... + 162908929169.

It is an arithmetic number, because the mean of its divisors is an integer number (393485171625).

Almost surely, 2^{381043982592000} is an apocalyptic number.

381043982592000 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 381043982592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906589835424000).

381043982592000 is an abundant number, since it is smaller than the sum of its proper divisors (1432135688256000).

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

381043982592000 is a wasteful number, since it uses less digits than its factorization.

381043982592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 381043982592000 in words is "three hundred eighty-one trillion, forty-three billion, nine hundred eighty-two million, five hundred ninety-two thousand".