431344434120 has 128 divisors (see below), whose sum is σ = 1325002199040. Its totient is φ = 112303860480.

The previous prime is 431344434089. The next prime is 431344434127. The reversal of 431344434120 is 21434443134.

It is not an unprimeable number, because it can be changed into a prime (431344434127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631797 + ... + 1123323.

It is an arithmetic number, because the mean of its divisors is an integer number (10351579680).

Almost surely, 2^431344434120 is an apocalyptic number.

431344434120 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 431344434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662501099520).

431344434120 is an abundant number, since it is smaller than the sum of its proper divisors (893657764920).

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

431344434120 is a wasteful number, since it uses less digits than its factorization.

431344434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491715 (or 491711 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 431344434120 its reverse (21434443134), we get a palindrome (452778877254).

The spelling of 431344434120 in words is "four hundred thirty-one billion, three hundred forty-four million, four hundred thirty-four thousand, one hundred twenty".