431424094128 has 80 divisors (see below), whose sum is σ = 1136832595200. Its totient is φ = 140949566208.

The previous prime is 431424094109. The next prime is 431424094177. The reversal of 431424094128 is 821490424134.

It is a super-3 number, since 3×431424094128³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 431424094128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302926 + ... + 977042.

It is an arithmetic number, because the mean of its divisors is an integer number (14210407440).

Almost surely, 2^431424094128 is an apocalyptic number.

431424094128 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 431424094128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568416297600).

431424094128 is an abundant number, since it is smaller than the sum of its proper divisors (705408501072).

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

431424094128 is a wasteful number, since it uses less digits than its factorization.

431424094128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674394 (or 674388 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 431424094128 in words is "four hundred thirty-one billion, four hundred twenty-four million, ninety-four thousand, one hundred twenty-eight".