382044851791200 has 864 divisors, whose sum is σ = 1497815463362400. Its totient is φ = 93939746734080.

The previous prime is 382044851791117. The next prime is 382044851791261. The reversal of 382044851791200 is 2197158440283.

382044851791200 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 448 + 5 + 1 + 79 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3391165272 + ... + 3391277928.

It is an arithmetic number, because the mean of its divisors is an integer number (1733582712225).

Almost surely, 2^{382044851791200} is an apocalyptic number.

382044851791200 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 382044851791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748907731681200).

382044851791200 is an abundant number, since it is smaller than the sum of its proper divisors (1115770611571200).

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

382044851791200 is a wasteful number, since it uses less digits than its factorization.

382044851791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113641 (or 113609 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 382044851791200 in words is "three hundred eighty-two trillion, forty-four billion, eight hundred fifty-one million, seven hundred ninety-one thousand, two hundred".