104400456021120 has 512 divisors, whose sum is σ = 402758440058880. Its totient is φ = 22455299801088.

The previous prime is 104400456021109. The next prime is 104400456021139. The reversal of 104400456021120 is 21120654004401.

It is a super-2 number, since 2×104400456021120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403515449 + ... + 1403589831.

It is an arithmetic number, because the mean of its divisors is an integer number (786637578240).

Almost surely, 2^{104400456021120} is an apocalyptic number.

104400456021120 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 104400456021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201379220029440).

104400456021120 is an abundant number, since it is smaller than the sum of its proper divisors (298357984037760).

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

104400456021120 is a wasteful number, since it uses less digits than its factorization.

104400456021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80572 (or 80560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 104400456021120 in words is "one hundred four trillion, four hundred billion, four hundred fifty-six million, twenty-one thousand, one hundred twenty".