104442015132000 has 1152 divisors, whose sum is σ = 461329883239680. Its totient is φ = 21788459827200.

The previous prime is 104442015131989. The next prime is 104442015132029. The reversal of 104442015132000 is 231510244401.

104442015132000 is a `hidden beast` number, since 1 + 0 + 4 + 442 + 0 + 1 + 5 + 13 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291384894 + ... + 291743106.

It is an arithmetic number, because the mean of its divisors is an integer number (400459968090).

Almost surely, 2^{104442015132000} is an apocalyptic number.

104442015132000 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 104442015132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230664941619840).

104442015132000 is an abundant number, since it is smaller than the sum of its proper divisors (356887868107680).

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

104442015132000 is a wasteful number, since it uses less digits than its factorization.

104442015132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358353 (or 358332 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104442015132000 its reverse (231510244401), we get a palindrome (104673525376401).

The spelling of 104442015132000 in words is "one hundred four trillion, four hundred forty-two billion, fifteen million, one hundred thirty-two thousand".