4431310131344 has 10 divisors (see below), whose sum is σ = 8585663379510. Its totient is φ = 2215655065664.

The previous prime is 4431310131341. The next prime is 4431310131349.

4431310131344 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3948407443600 + 482902687744 = 1987060^2 + 694912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4431310131344.

It is not an unprimeable number, because it can be changed into a prime (4431310131341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 138478441589 + ... + 138478441620.

It is an arithmetic number, because the mean of its divisors is an integer number (858566337951).

Almost surely, 2^{4431310131344} is an apocalyptic number.

It is an amenable number.

4431310131344 is a deficient number, since it is larger than the sum of its proper divisors (4154353248166).

4431310131344 is a wasteful number, since it uses less digits than its factorization.

4431310131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276956883217 (or 276956883211 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, 4431310 and 131344, that added together give a palindrome (4562654).

The spelling of 4431310131344 in words is "four trillion, four hundred thirty-one billion, three hundred ten million, one hundred thirty-one thousand, three hundred forty-four".