9996944730400 has 144 divisors (see below), whose sum is σ = 24569346914280. Its totient is φ = 3971874816000.

The previous prime is 9996944730397. The next prime is 9996944730433. The reversal of 9996944730400 is 40374496999.

It can be written as a sum of positive squares in 12 ways, for example, as 1209111363216 + 8787833367184 = 1099596^2 + 2964428^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390477600 + ... + 390503200.

Almost surely, 2^{9996944730400} 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 9996944730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284673457140).

9996944730400 is an abundant number, since it is smaller than the sum of its proper divisors (14572402183880).

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

9996944730400 is a wasteful number, since it uses less digits than its factorization.

9996944730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28887 (or 28874 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 9996944730400 in words is "nine trillion, nine hundred ninety-six billion, nine hundred forty-four million, seven hundred thirty thousand, four hundred".