8044440444408 has 64 divisors (see below), whose sum is σ = 20322636364800. Its totient is φ = 2653340976000.

The previous prime is 8044440444389. The next prime is 8044440444409.

8044440444408 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8044440444409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82716 + ... + 4011947.

It is an arithmetic number, because the mean of its divisors is an integer number (317541193200).

Almost surely, 2^{8044440444408} is an apocalyptic number.

It is an amenable number.

8044440444408 is an abundant number, since it is smaller than the sum of its proper divisors (12278195920392).

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

8044440444408 is a wasteful number, since it uses less digits than its factorization.

8044440444408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095532 (or 4095528 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

It can be divided in two parts, 8044440 and 444408, that added together give a palindrome (8488848).

The spelling of 8044440444408 in words is "eight trillion, forty-four billion, four hundred forty million, four hundred forty-four thousand, four hundred eight".