104401596484800 has 1008 divisors, whose sum is σ = 388344517797600. Its totient is φ = 26567383449600.

The previous prime is 104401596484751. The next prime is 104401596484891. The reversal of 104401596484800 is 8484695104401.

104401596484800 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 1 + 596 + 4 + 8 + 48 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43302195595 + ... + 43302198005.

It is an arithmetic number, because the mean of its divisors is an integer number (385262418450).

Almost surely, 2^{104401596484800} is an apocalyptic number.

104401596484800 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 104401596484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194172258898800).

104401596484800 is an abundant number, since it is smaller than the sum of its proper divisors (283942921312800).

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

104401596484800 is a wasteful number, since it uses less digits than its factorization.

104401596484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 104401596484800 in words is "one hundred four trillion, four hundred one billion, five hundred ninety-six million, four hundred eighty-four thousand, eight hundred".