4431232321344 has 168 divisors, whose sum is σ = 13322154313728. Its totient is φ = 1406578314240.

The previous prime is 4431232321337. The next prime is 4431232321361.

4431232321344 is a `hidden beast` number, since 4 + 4 + 312 + 323 + 2 + 13 + 4 + 4 = 666.

4431232321344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4431232321299 and 4431232321308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210272 + ... + 3213599.

Almost surely, 2^{4431232321344} is an apocalyptic number.

It is an amenable number.

4431232321344 is an abundant number, since it is smaller than the sum of its proper divisors (8890921992384).

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

4431232321344 is a wasteful number, since it uses less digits than its factorization.

4431232321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423973 (or 4423960 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 4431232321344 in words is "four trillion, four hundred thirty-one billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred forty-four".