4431438341344 has 96 divisors (see below), whose sum is σ = 10272968669376. Its totient is φ = 1842155335680.

The previous prime is 4431438341329. The next prime is 4431438341371.

4431438341344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4431438341294 and 4431438341303.

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, 194274 + ... + 2983390.

It is an arithmetic number, because the mean of its divisors is an integer number (107010090306).

Almost surely, 2^{4431438341344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431438341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136484334688).

4431438341344 is an abundant number, since it is smaller than the sum of its proper divisors (5841530328032).

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

4431438341344 is a wasteful number, since it uses less digits than its factorization.

4431438341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789348 (or 2789340 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 46.

The spelling of 4431438341344 in words is "four trillion, four hundred thirty-one billion, four hundred thirty-eight million, three hundred forty-one thousand, three hundred forty-four".