104399723366400 has 1152 divisors, whose sum is σ = 436190981990400. Its totient is φ = 21396101529600.

The previous prime is 104399723366383. The next prime is 104399723366507. The reversal of 104399723366400 is 4663327993401.

It is a super-2 number, since 2×104399723366400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 863325141 + ... + 863446059.

It is an arithmetic number, because the mean of its divisors is an integer number (378638005200).

Almost surely, 2^{104399723366400} is an apocalyptic number.

104399723366400 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 104399723366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218095490995200).

104399723366400 is an abundant number, since it is smaller than the sum of its proper divisors (331791258624000).

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

104399723366400 is a wasteful number, since it uses less digits than its factorization.

104399723366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121045 (or 121020 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 104399723366400 in words is "one hundred four trillion, three hundred ninety-nine billion, seven hundred twenty-three million, three hundred sixty-six thousand, four hundred".