404372432128 has 144 divisors (see below), whose sum is σ = 940226918400. Its totient is φ = 169992345600.

The previous prime is 404372432053. The next prime is 404372432137. The reversal of 404372432128 is 821234273404.

It is a happy number.

It is a super-2 number, since 2×404372432128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25311183 + ... + 25327153.

It is an arithmetic number, because the mean of its divisors is an integer number (6529353600).

Almost surely, 2^404372432128 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 404372432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470113459200).

404372432128 is an abundant number, since it is smaller than the sum of its proper divisors (535854486272).

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

404372432128 is a wasteful number, since it uses less digits than its factorization.

404372432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 404372432128 in words is "four hundred four billion, three hundred seventy-two million, four hundred thirty-two thousand, one hundred twenty-eight".