44404124441404 has 384 divisors, whose sum is σ = 104126238720000. Its totient is φ = 16084345761792.

The previous prime is 44404124441387. The next prime is 44404124441407. The reversal of 44404124441404 is 40414442140444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404124441407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30857625717 + ... + 30857627155.

It is an arithmetic number, because the mean of its divisors is an integer number (271162080000).

Almost surely, 2^{44404124441404} 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 44404124441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52063119360000).

44404124441404 is an abundant number, since it is smaller than the sum of its proper divisors (59722114278596).

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

44404124441404 is a wasteful number, since it uses less digits than its factorization.

44404124441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

Adding to 44404124441404 its reverse (40414442140444), we get a palindrome (84818566581848).

The spelling of 44404124441404 in words is "forty-four trillion, four hundred four billion, one hundred twenty-four million, four hundred forty-one thousand, four hundred four".