431444431111020 has 96 divisors (see below), whose sum is σ = 1226239381113600. Its totient is φ = 113319454305024.

The previous prime is 431444431110947. The next prime is 431444431111061. The reversal of 431444431111020 is 20111134444134.

It is a super-2 number, since 2×431444431111020² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22790886 + ... + 37179474.

It is an arithmetic number, because the mean of its divisors is an integer number (12773326886600).

Almost surely, 2^{431444431111020} 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 431444431111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613119690556800).

431444431111020 is an abundant number, since it is smaller than the sum of its proper divisors (794794950002580).

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

431444431111020 is a wasteful number, since it uses less digits than its factorization.

431444431111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14396127 (or 14396125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 431444431111020 its reverse (20111134444134), we get a palindrome (451555565555154).

The spelling of 431444431111020 in words is "four hundred thirty-one trillion, four hundred forty-four billion, four hundred thirty-one million, one hundred eleven thousand, twenty".