431423124132 has 768 divisors, whose sum is σ = 1449143894016. Its totient is φ = 96297984000.

The previous prime is 431423124131. The next prime is 431423124193. The reversal of 431423124132 is 231421324134.

It is a super-2 number, since 2×431423124132² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 431423124132.

It is not an unprimeable number, because it can be changed into a prime (431423124131) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2383553082 + ... + 2383553262.

It is an arithmetic number, because the mean of its divisors is an integer number (1886906112).

Almost surely, 2^431423124132 is an apocalyptic number.

431423124132 is a gapful number since it is divisible by the number (42) 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 431423124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724571947008).

431423124132 is an abundant number, since it is smaller than the sum of its proper divisors (1017720769884).

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

431423124132 is a wasteful number, since it uses less digits than its factorization.

431423124132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 431423124132 its reverse (231421324134), we get a palindrome (662844448266).

It can be divided in two parts, 431423 and 124132, that added together give a palindrome (555555).

The spelling of 431423124132 in words is "four hundred thirty-one billion, four hundred twenty-three million, one hundred twenty-four thousand, one hundred thirty-two".