10409387968800 has 432 divisors, whose sum is σ = 38641047314688. Its totient is φ = 2631646617600.

The previous prime is 10409387968781. The next prime is 10409387968807. The reversal of 10409387968800 is 886978390401.

10409387968800 is a `hidden beast` number, since 10 + 409 + 3 + 87 + 9 + 68 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10409387968807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18434665 + ... + 18990935.

It is an arithmetic number, because the mean of its divisors is an integer number (89446868784).

Almost surely, 2^{10409387968800} is an apocalyptic number.

10409387968800 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 10409387968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320523657344).

10409387968800 is an abundant number, since it is smaller than the sum of its proper divisors (28231659345888).

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

10409387968800 is a wasteful number, since it uses less digits than its factorization.

10409387968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556433 (or 556417 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 10409387968800 in words is "ten trillion, four hundred nine billion, three hundred eighty-seven million, nine hundred sixty-eight thousand, eight hundred".