382191192840960 has 1152 divisors, whose sum is σ = 1418869245911040. Its totient is φ = 98519556096000.

The previous prime is 382191192840937. The next prime is 382191192840979. The reversal of 382191192840960 is 69048291191283.

382191192840960 is a `hidden beast` number, since 3 + 8 + 2 + 191 + 19 + 28 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101619565480 + ... + 101619569240.

It is an arithmetic number, because the mean of its divisors is an integer number (1231657331520).

Almost surely, 2^{382191192840960} is an apocalyptic number.

382191192840960 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 382191192840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709434622955520).

382191192840960 is an abundant number, since it is smaller than the sum of its proper divisors (1036678053070080).

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

382191192840960 is an equidigital number, since it uses as much as digits as its factorization.

382191192840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 382191192840960 in words is "three hundred eighty-two trillion, one hundred ninety-one billion, one hundred ninety-two million, eight hundred forty thousand, nine hundred sixty".