10044759717408 has 192 divisors, whose sum is σ = 28688655945600. Its totient is φ = 3077184015360.

The previous prime is 10044759717397. The next prime is 10044759717413. The reversal of 10044759717408 is 80471795744001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48194863 + ... + 48402833.

It is an arithmetic number, because the mean of its divisors is an integer number (149420083050).

Almost surely, 2^{10044759717408} 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 10044759717408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344327972800).

10044759717408 is an abundant number, since it is smaller than the sum of its proper divisors (18643896228192).

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

10044759717408 is a wasteful number, since it uses less digits than its factorization.

10044759717408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208252 (or 208218 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 10044759717408 in words is "ten trillion, forty-four billion, seven hundred fifty-nine million, seven hundred seventeen thousand, four hundred eight".