382541140800 has 2688 divisors, whose sum is σ = 1837713489920. Its totient is φ = 75246796800.

The previous prime is 382541140789. The next prime is 382541140841. The reversal of 382541140800 is 8041145283.

382541140800 is a `hidden beast` number, since 38 + 2 + 541 + 1 + 4 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5240289564 + ... + 5240289636.

Almost surely, 2^382541140800 is an apocalyptic number.

382541140800 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 382541140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918856744960).

382541140800 is an abundant number, since it is smaller than the sum of its proper divisors (1455172349120).

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

382541140800 is a wasteful number, since it uses less digits than its factorization.

382541140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 382541140800 in words is "three hundred eighty-two billion, five hundred forty-one million, one hundred forty thousand, eight hundred".