10044039488000 has 320 divisors, whose sum is σ = 28639279468800. Its totient is φ = 3441755750400.

The previous prime is 10044039487981. The next prime is 10044039488003. The reversal of 10044039488000 is 88493044001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×10044039488000³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10044039488003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976186856 + ... + 976197144.

It is an arithmetic number, because the mean of its divisors is an integer number (89497748340).

Almost surely, 2^{10044039488000} is an apocalyptic number.

10044039488000 is a gapful number since it is divisible by the number (10) 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 10044039488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319639734400).

10044039488000 is an abundant number, since it is smaller than the sum of its proper divisors (18595239980800).

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

10044039488000 is an equidigital number, since it uses as much as digits as its factorization.

10044039488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 10044039488000 in words is "ten trillion, forty-four billion, thirty-nine million, four hundred eighty-eight thousand".