10382443874400 has 576 divisors, whose sum is σ = 38289928412736. Its totient is φ = 2425946112000.

The previous prime is 10382443874347. The next prime is 10382443874423. The reversal of 10382443874400 is 447834428301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10382443874400.

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 95 ways as a sum of consecutive naturals, for example, 47220720 + ... + 47440080.

It is an arithmetic number, because the mean of its divisors is an integer number (66475570161).

Almost surely, 2^{10382443874400} is an apocalyptic number.

10382443874400 is a gapful number since it is divisible by the number (10) 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 10382443874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144964206368).

10382443874400 is an abundant number, since it is smaller than the sum of its proper divisors (27907484538336).

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

10382443874400 is a wasteful number, since it uses less digits than its factorization.

10382443874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219475 (or 219462 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 10382443874400 in words is "ten trillion, three hundred eighty-two billion, four hundred forty-three million, eight hundred seventy-four thousand, four hundred".