4431120211344 has 40 divisors (see below), whose sum is σ = 11756440565440. Its totient is φ = 1437120067968.

The previous prime is 4431120211337. The next prime is 4431120211391.

It is a happy number.

4431120211344 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1247498284 + ... + 1247501835.

It is an arithmetic number, because the mean of its divisors is an integer number (293911014136).

Almost surely, 2^{4431120211344} is an apocalyptic number.

It is an amenable number.

4431120211344 is an abundant number, since it is smaller than the sum of its proper divisors (7325320354096).

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

4431120211344 is a wasteful number, since it uses less digits than its factorization.

4431120211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495000167 (or 2495000161 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 4431120 and 211344, that added together give a palindrome (4642464).

The spelling of 4431120211344 in words is "four trillion, four hundred thirty-one billion, one hundred twenty million, two hundred eleven thousand, three hundred forty-four".