4431344431344 has 80 divisors (see below), whose sum is σ = 11776864616352. Its totient is φ = 1434768850944.

The previous prime is 4431344431321. The next prime is 4431344431379.

4431344431344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4431344431296 and 4431344431305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1050649 + ... + 3156984.

Almost surely, 2^{4431344431344} is an apocalyptic number.

It is an amenable number.

4431344431344 is an abundant number, since it is smaller than the sum of its proper divisors (7345520185008).

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

4431344431344 is a wasteful number, since it uses less digits than its factorization.

4431344431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208274 (or 4208268 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 4431344431344 in words is "four trillion, four hundred thirty-one billion, three hundred forty-four million, four hundred thirty-one thousand, three hundred forty-four".