431426791680 has 576 divisors, whose sum is σ = 1503232819200. Its totient is φ = 105170042880.

The previous prime is 431426791667. The next prime is 431426791703. The reversal of 431426791680 is 86197624134.

It is a happy number.

It is a super-2 number, since 2×431426791680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162250191 + ... + 162252849.

It is an arithmetic number, because the mean of its divisors is an integer number (2609779200).

Almost surely, 2^431426791680 is an apocalyptic number.

431426791680 is a gapful number since it is divisible by the number (40) 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 431426791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751616409600).

431426791680 is an abundant number, since it is smaller than the sum of its proper divisors (1071806027520).

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

431426791680 is a wasteful number, since it uses less digits than its factorization.

431426791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 431426791680 in words is "four hundred thirty-one billion, four hundred twenty-six million, seven hundred ninety-one thousand, six hundred eighty".