9319920400 has 120 divisors (see below), whose sum is σ = 25792317440. Its totient is φ = 3170119680.

The previous prime is 9319920397. The next prime is 9319920403. The reversal of 9319920400 is 40299139.

It is an interprime number because it is at equal distance from previous prime (9319920397) and next prime (9319920403).

It is a self number, because there is not a number n which added to its sum of digits gives 9319920400.

It is not an unprimeable number, because it can be changed into a prime (9319920403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342496 + ... + 368704.

Almost surely, 2^9319920400 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 9319920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896158720).

9319920400 is an abundant number, since it is smaller than the sum of its proper divisors (16472397040).

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

9319920400 is a wasteful number, since it uses less digits than its factorization.

9319920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26361 (or 26350 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 9319920400 is about 96539.7348245788. The cubic root of 9319920400 is about 2104.4441334240. Note that the first 3 decimals are identical.

The spelling of 9319920400 in words is "nine billion, three hundred nineteen million, nine hundred twenty thousand, four hundred".