4440043441344 has 336 divisors, whose sum is σ = 13852550400000. Its totient is φ = 1251261333504.

The previous prime is 4440043441291. The next prime is 4440043441349. The reversal of 4440043441344 is 4431443400444.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4440043441344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4440043441349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 928294377 + ... + 928299159.

Almost surely, 2^{4440043441344} 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 4440043441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926275200000).

4440043441344 is an abundant number, since it is smaller than the sum of its proper divisors (9412506958656).

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

4440043441344 is a wasteful number, since it uses less digits than its factorization.

4440043441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 4440043441344 its reverse (4431443400444), we get a palindrome (8871486841788).

The spelling of 4440043441344 in words is "four trillion, four hundred forty billion, forty-three million, four hundred forty-one thousand, three hundred forty-four".