9938906140800 has 2304 divisors, whose sum is σ = 43608265142400. Its totient is φ = 1966449623040.

The previous prime is 9938906140769. The next prime is 9938906140811. The reversal of 9938906140800 is 80416098399.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13129334022 + ... + 13129334778.

Almost surely, 2^{9938906140800} 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 9938906140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804132571200).

9938906140800 is an abundant number, since it is smaller than the sum of its proper divisors (33669359001600).

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

9938906140800 is a wasteful number, since it uses less digits than its factorization.

9938906140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 9938906140800 in words is "nine trillion, nine hundred thirty-eight billion, nine hundred six million, one hundred forty thousand, eight hundred".