9939283200000 has 3456 divisors, whose sum is σ = 46950264990720. Its totient is φ = 2040422400000.

The previous prime is 9939283199971. The next prime is 9939283200001. The reversal of 9939283200000 is 23829399.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9939283200001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119750399959 + ... + 119750400041.

It is an arithmetic number, because the mean of its divisors is an integer number (13585146120).

Almost surely, 2^{9939283200000} is an apocalyptic number.

9939283200000 is a gapful number since it is divisible by the number (90) 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 9939283200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475132495360).

9939283200000 is an abundant number, since it is smaller than the sum of its proper divisors (37010981790720).

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

9939283200000 is an frugal number, since it uses more digits than its factorization.

9939283200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 9939283200000 in words is "nine trillion, nine hundred thirty-nine billion, two hundred eighty-three million, two hundred thousand".