382381440000 has 880 divisors, whose sum is σ = 1520025036288. Its totient is φ = 83533824000.

The previous prime is 382381439959. The next prime is 382381440059. The reversal of 382381440000 is 44183283.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309119382 + ... + 309120618.

Almost surely, 2^382381440000 is an apocalyptic number.

382381440000 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 382381440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760012518144).

382381440000 is an abundant number, since it is smaller than the sum of its proper divisors (1137643596288).

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

382381440000 is a wasteful number, since it uses less digits than its factorization.

382381440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 382381440000 in words is "three hundred eighty-two billion, three hundred eighty-one million, four hundred forty thousand".