4438440448344 has 128 divisors (see below), whose sum is σ = 14110681612800. Its totient is φ = 1266290340480.

The previous prime is 4438440448313. The next prime is 4438440448411.

4438440448344 is a `hidden beast` number, since 4 + 4 + 3 + 84 + 40 + 4 + 483 + 44 = 666.

4438440448344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4438440448344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079287 + ... + 3168870.

It is an arithmetic number, because the mean of its divisors is an integer number (110239700100).

Almost surely, 2^{4438440448344} is an apocalyptic number.

It is an amenable number.

4438440448344 is an abundant number, since it is smaller than the sum of its proper divisors (9672241164456).

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

4438440448344 is a wasteful number, since it uses less digits than its factorization.

4438440448344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248870 (or 4248860 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 54.

The spelling of 4438440448344 in words is "four trillion, four hundred thirty-eight billion, four hundred forty million, four hundred forty-eight thousand, three hundred forty-four".