9412117228800 has 2592 divisors, whose sum is σ = 42209872839680. Its totient is φ = 2036441088000.

The previous prime is 9412117228799. The next prime is 9412117228841. The reversal of 9412117228800 is 88227112149.

9412117228800 is a `hidden beast` number, since 9 + 412 + 1 + 1 + 7 + 228 + 8 + 0 + 0 = 666.

9412117228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8426245842 + ... + 8426246958.

Almost surely, 2^{9412117228800} is an apocalyptic number.

9412117228800 is a gapful number since it is divisible by the number (90) 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 9412117228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21104936419840).

9412117228800 is an abundant number, since it is smaller than the sum of its proper divisors (32797755610880).

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

9412117228800 is a wasteful number, since it uses less digits than its factorization.

9412117228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 9412117228800 in words is "nine trillion, four hundred twelve billion, one hundred seventeen million, two hundred twenty-eight thousand, eight hundred".