104013313404000 has 3072 divisors, whose sum is σ = 484647896678400. Its totient is φ = 18780512256000.

The previous prime is 104013313403999. The next prime is 104013313404059. The reversal of 104013313404000 is 404313310401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 38114074636 + ... + 38114077364.

It is an arithmetic number, because the mean of its divisors is an integer number (157762987200).

Almost surely, 2^{104013313404000} is an apocalyptic number.

104013313404000 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 104013313404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242323948339200).

104013313404000 is an abundant number, since it is smaller than the sum of its proper divisors (380634583274400).

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

104013313404000 is a wasteful number, since it uses less digits than its factorization.

104013313404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104013313404000 its reverse (404313310401), we get a palindrome (104417626714401).

The spelling of 104013313404000 in words is "one hundred four trillion, thirteen billion, three hundred thirteen million, four hundred four thousand".