9934449984000 has 1280 divisors, whose sum is σ = 38534603627520. Its totient is φ = 2518179840000.

The previous prime is 9934449983987. The next prime is 9934449984001. The reversal of 9934449984000 is 4899444399.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (9934449984001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7193663310 + ... + 7193664690.

It is an arithmetic number, because the mean of its divisors is an integer number (30105159084).

Almost surely, 2^{9934449984000} is an apocalyptic number.

9934449984000 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 9934449984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267301813760).

9934449984000 is an abundant number, since it is smaller than the sum of its proper divisors (28600153643520).

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

9934449984000 is a wasteful number, since it uses less digits than its factorization.

9934449984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 9934449984000 in words is "nine trillion, nine hundred thirty-four billion, four hundred forty-nine million, nine hundred eighty-four thousand".