431081794560 has 352 divisors, whose sum is σ = 1441929595392. Its totient is φ = 109713162240.

The previous prime is 431081794529. The next prime is 431081794567. The reversal of 431081794560 is 65497180134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (431081794567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201721812 + ... + 201723948.

It is an arithmetic number, because the mean of its divisors is an integer number (4096390896).

Almost surely, 2^431081794560 is an apocalyptic number.

431081794560 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 431081794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720964797696).

431081794560 is an abundant number, since it is smaller than the sum of its proper divisors (1010847800832).

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

431081794560 is a wasteful number, since it uses less digits than its factorization.

431081794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 431081794560 in words is "four hundred thirty-one billion, eighty-one million, seven hundred ninety-four thousand, five hundred sixty".