431221304423441 has 32 divisors (see below), whose sum is σ = 499714790400000. Its totient is φ = 364473341286912.

The previous prime is 431221304423423. The next prime is 431221304423453. The reversal of 431221304423441 is 144324403122134.

It is a cyclic number.

It is not a de Polignac number, because 431221304423441 - 2³⁴ = 431204124554257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431221304423395 and 431221304423404.

It is not an unprimeable number, because it can be changed into a prime (431221304423401) 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, 1283232560 + ... + 1283568558.

It is an arithmetic number, because the mean of its divisors is an integer number (15616087200000).

Almost surely, 2^{431221304423441} is an apocalyptic number.

It is an amenable number.

431221304423441 is a deficient number, since it is larger than the sum of its proper divisors (68493485976559).

431221304423441 is a wasteful number, since it uses less digits than its factorization.

431221304423441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341681.

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 431221304423441 its reverse (144324403122134), we get a palindrome (575545707545575).

The spelling of 431221304423441 in words is "four hundred thirty-one trillion, two hundred twenty-one billion, three hundred four million, four hundred twenty-three thousand, four hundred forty-one".