13104104014400 has 672 divisors, whose sum is σ = 38859512832000. Its totient is φ = 4252273090560.

The previous prime is 13104104014307. The next prime is 13104104014429. The reversal of 13104104014400 is 441040140131.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 95 ways as a sum of consecutive naturals, for example, 18225457241 + ... + 18225457959.

It is an arithmetic number, because the mean of its divisors is an integer number (57826656000).

Almost surely, 2^{13104104014400} is an apocalyptic number.

13104104014400 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 13104104014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429756416000).

13104104014400 is an abundant number, since it is smaller than the sum of its proper divisors (25755408817600).

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

13104104014400 is a wasteful number, since it uses less digits than its factorization.

13104104014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 13104104014400 its reverse (441040140131), we get a palindrome (13545144154531).

The spelling of 13104104014400 in words is "thirteen trillion, one hundred four billion, one hundred four million, fourteen thousand, four hundred".