44412216625504 has 1152 divisors, whose sum is σ = 120569259331584. Its totient is φ = 15699640320000.

The previous prime is 44412216625477. The next prime is 44412216625523. The reversal of 44412216625504 is 40552661221444.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 282880360594 + ... + 282880360750.

It is an arithmetic number, because the mean of its divisors is an integer number (104660815392).

Almost surely, 2^{44412216625504} 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 44412216625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60284629665792).

44412216625504 is an abundant number, since it is smaller than the sum of its proper divisors (76157042706080).

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

44412216625504 is a wasteful number, since it uses less digits than its factorization.

44412216625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

Adding to 44412216625504 its reverse (40552661221444), we get a palindrome (84964877846948).

The spelling of 44412216625504 in words is "forty-four trillion, four hundred twelve billion, two hundred sixteen million, six hundred twenty-five thousand, five hundred four".