431132034344 has 96 divisors (see below), whose sum is σ = 904343076000. Its totient is φ = 192489601920.

The previous prime is 431132034299. The next prime is 431132034397. The reversal of 431132034344 is 443430231134.

It is a self number, because there is not a number n which added to its sum of digits gives 431132034344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95317667 + ... + 95322189.

It is an arithmetic number, because the mean of its divisors is an integer number (9420240375).

Almost surely, 2^431132034344 is an apocalyptic number.

431132034344 is a gapful number since it is divisible by the number (44) 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 431132034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452171538000).

431132034344 is an abundant number, since it is smaller than the sum of its proper divisors (473211041656).

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

431132034344 is a wasteful number, since it uses less digits than its factorization.

431132034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 431132034344 its reverse (443430231134), we get a palindrome (874562265478).

The spelling of 431132034344 in words is "four hundred thirty-one billion, one hundred thirty-two million, thirty-four thousand, three hundred forty-four".