44008429978848 has 192 divisors, whose sum is σ = 116781596080128. Its totient is φ = 14510380953600.

The previous prime is 44008429978813. The next prime is 44008429978889. The reversal of 44008429978848 is 84887992480044.

It is a self number, because there is not a number n which added to its sum of digits gives 44008429978848.

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, 6984353298 + ... + 6984359598.

It is an arithmetic number, because the mean of its divisors is an integer number (608237479584).

Almost surely, 2^{44008429978848} is an apocalyptic number.

44008429978848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44008429978848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58390798040064).

44008429978848 is an abundant number, since it is smaller than the sum of its proper divisors (72773166101280).

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

44008429978848 is a wasteful number, since it uses less digits than its factorization.

44008429978848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 75.

The spelling of 44008429978848 in words is "forty-four trillion, eight billion, four hundred twenty-nine million, nine hundred seventy-eight thousand, eight hundred forty-eight".