104204411413200 has 720 divisors, whose sum is σ = 449415258439680. Its totient is φ = 21811213025280.

The previous prime is 104204411413181. The next prime is 104204411413211. The reversal of 104204411413200 is 2314114402401.

104204411413200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 4 + 41 + 1 + 413 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×104204411413200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 12563761 + ... + 19137839.

It is an arithmetic number, because the mean of its divisors is an integer number (624187858944).

Almost surely, 2^{104204411413200} is an apocalyptic number.

104204411413200 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 104204411413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224707629219840).

104204411413200 is an abundant number, since it is smaller than the sum of its proper divisors (345210847026480).

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

104204411413200 is a wasteful number, since it uses less digits than its factorization.

104204411413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574164 (or 6574150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104204411413200 its reverse (2314114402401), we get a palindrome (106518525815601).

The spelling of 104204411413200 in words is "one hundred four trillion, two hundred four billion, four hundred eleven million, four hundred thirteen thousand, two hundred".