10039438080 has 1008 divisors, whose sum is σ = 43430748480. Its totient is φ = 2173796352.

The previous prime is 10039438069. The next prime is 10039438093. The reversal of 10039438080 is 8083493001.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189423334 + ... + 189423386.

It is an arithmetic number, because the mean of its divisors is an integer number (43086060).

Almost surely, 2^10039438080 is an apocalyptic number.

10039438080 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 10039438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21715374240).

10039438080 is an abundant number, since it is smaller than the sum of its proper divisors (33391310400).

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

10039438080 is an frugal number, since it uses more digits than its factorization.

10039438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10039438080 in words is "ten billion, thirty-nine million, four hundred thirty-eight thousand, eighty".