104430412800 has 792 divisors, whose sum is σ = 433668183936. Its totient is φ = 23516282880.

The previous prime is 104430412741. The next prime is 104430412817. The reversal of 104430412800 is 8214034401.

104430412800 is a `hidden beast` number, since 104 + 430 + 4 + 128 + 0 + 0 = 666.

It is a super-2 number, since 2×104430412800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117733957 + ... + 117734843.

Almost surely, 2^104430412800 is an apocalyptic number.

104430412800 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 104430412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216834091968).

104430412800 is an abundant number, since it is smaller than the sum of its proper divisors (329237771136).

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

104430412800 is a wasteful number, since it uses less digits than its factorization.

104430412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 977 counting only the distinct ones).

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

The spelling of 104430412800 in words is "one hundred four billion, four hundred thirty million, four hundred twelve thousand, eight hundred".