412172434128 has 160 divisors (see below), whose sum is σ = 1310839600896. Its totient is φ = 108676399104.

The previous prime is 412172434027. The next prime is 412172434139. The reversal of 412172434128 is 821434271214.

It is a super-2 number, since 2×412172434128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20663776 + ... + 20683712.

Almost surely, 2^412172434128 is an apocalyptic number.

412172434128 is a gapful number since it is divisible by the number (48) 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 412172434128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655419800448).

412172434128 is an abundant number, since it is smaller than the sum of its proper divisors (898667166768).

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

412172434128 is a wasteful number, since it uses less digits than its factorization.

412172434128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24701 (or 24695 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The spelling of 412172434128 in words is "four hundred twelve billion, one hundred seventy-two million, four hundred thirty-four thousand, one hundred twenty-eight".