382475966400000 has 4320 divisors, whose sum is σ = 1603284668713728. Its totient is φ = 87588864000000.

The previous prime is 382475966399993. The next prime is 382475966400013. The reversal of 382475966400000 is 4669574283.

382475966400000 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 7 + 596 + 6 + 40 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×382475966400000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382475966400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3943051199952 + ... + 3943051200048.

Almost surely, 2^{382475966400000} is an apocalyptic number.

382475966400000 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 382475966400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801642334356864).

382475966400000 is an abundant number, since it is smaller than the sum of its proper divisors (1220808702313728).

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

382475966400000 is an equidigital number, since it uses as much as digits as its factorization.

382475966400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 382475966400000 in words is "three hundred eighty-two trillion, four hundred seventy-five billion, nine hundred sixty-six million, four hundred thousand".