9982310400 has 720 divisors, whose sum is σ = 38708069400. Its totient is φ = 2539192320.

The previous prime is 9982310381. The next prime is 9982310407. The reversal of 9982310400 is 40132899.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9982310407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 120268759 + ... + 120268841.

Almost surely, 2^9982310400 is an apocalyptic number.

9982310400 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 9982310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354034700).

9982310400 is an abundant number, since it is smaller than the sum of its proper divisors (28725759000).

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

9982310400 is a wasteful number, since it uses less digits than its factorization.

9982310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9982310400 is about 99911.5128501215. The cubic root of 9982310400 is about 2153.1635706208.

The spelling of 9982310400 in words is "nine billion, nine hundred eighty-two million, three hundred ten thousand, four hundred".