431313345510444 has 144 divisors (see below), whose sum is σ = 1149458449950720. Its totient is φ = 136097461716480.

The previous prime is 431313345510413. The next prime is 431313345510449. The reversal of 431313345510444 is 444015543313134.

431313345510444 is a `hidden beast` number, since 4 + 3 + 13 + 13 + 34 + 551 + 0 + 4 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 431313345510444.

It is not an unprimeable number, because it can be changed into a prime (431313345510449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85342372 + ... + 90254900.

It is an arithmetic number, because the mean of its divisors is an integer number (7982350346880).

Almost surely, 2^{431313345510444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431313345510444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574729224975360).

431313345510444 is an abundant number, since it is smaller than the sum of its proper divisors (718145104440276).

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

431313345510444 is a wasteful number, since it uses less digits than its factorization.

431313345510444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913660 (or 4913655 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 431313345510444 its reverse (444015543313134), we get a palindrome (875328888823578).

The spelling of 431313345510444 in words is "four hundred thirty-one trillion, three hundred thirteen billion, three hundred forty-five million, five hundred ten thousand, four hundred forty-four".