9993110400 has 1536 divisors, whose sum is σ = 47596953600. Its totient is φ = 1990656000.

The previous prime is 9993110329. The next prime is 9993110417. The reversal of 9993110400 is 40113999.

It is a super-4 number, since 4×9993110400⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 243734380 + ... + 243734420.

It is an arithmetic number, because the mean of its divisors is an integer number (30987600).

Almost surely, 2^9993110400 is an apocalyptic number.

9993110400 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 9993110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23798476800).

9993110400 is an abundant number, since it is smaller than the sum of its proper divisors (37603843200).

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

9993110400 is a wasteful number, since it uses less digits than its factorization.

9993110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9993110400 is about 99965.5460646317. The cubic root of 9993110400 is about 2153.9398032541.

The spelling of 9993110400 in words is "nine billion, nine hundred ninety-three million, one hundred ten thousand, four hundred".