9931408000 has 128 divisors (see below), whose sum is σ = 25489751040. Its totient is φ = 3844224000.

The previous prime is 9931407989. The next prime is 9931408051. The reversal of 9931408000 is 8041399.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485989 + ... + 506011.

It is an arithmetic number, because the mean of its divisors is an integer number (199138680).

Almost surely, 2^9931408000 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 9931408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744875520).

9931408000 is an abundant number, since it is smaller than the sum of its proper divisors (15558343040).

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

9931408000 is a wasteful number, since it uses less digits than its factorization.

9931408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 9931408000 is about 99656.4498665290. The cubic root of 9931408000 is about 2149.4974848649.

Adding to 9931408000 its reverse (8041399), we get a palindrome (9939449399).

The spelling of 9931408000 in words is "nine billion, nine hundred thirty-one million, four hundred eight thousand".