4431130311344 has 60 divisors (see below), whose sum is σ = 9508787987160. Its totient is φ = 1998774835200.

The previous prime is 4431130311343. The next prime is 4431130311359.

4431130311344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4431130311344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4431130311344.

It is not an unprimeable number, because it can be changed into a prime (4431130311341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8482289 + ... + 8989520.

It is an arithmetic number, because the mean of its divisors is an integer number (158479799786).

Almost surely, 2^{4431130311344} is an apocalyptic number.

4431130311344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4431130311344 is an abundant number, since it is smaller than the sum of its proper divisors (5077657675816).

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

4431130311344 is a wasteful number, since it uses less digits than its factorization.

4431130311344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17471970 (or 17471953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 4431130 and 311344, that added together give a palindrome (4742474).

The spelling of 4431130311344 in words is "four trillion, four hundred thirty-one billion, one hundred thirty million, three hundred eleven thousand, three hundred forty-four".