412330472801100 has 864 divisors, whose sum is σ = 1507024705245696. Its totient is φ = 92354618880000.

The previous prime is 412330472801089. The next prime is 412330472801123. The reversal of 412330472801100 is 1108274033214.

412330472801100 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 3 + 0 + 472 + 80 + 1 + 100 = 666.

It is a super-2 number, since 2×412330472801100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161255561022 + ... + 161255563578.

Almost surely, 2^{412330472801100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412330472801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753512352622848).

412330472801100 is an abundant number, since it is smaller than the sum of its proper divisors (1094694232444596).

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

412330472801100 is a wasteful number, since it uses less digits than its factorization.

412330472801100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 412330472801100 in words is "four hundred twelve trillion, three hundred thirty billion, four hundred seventy-two million, eight hundred one thousand, one hundred".