9933414400 has 504 divisors, whose sum is σ = 31228095024. Its totient is φ = 3067084800.

The previous prime is 9933414373. The next prime is 9933414431. The reversal of 9933414400 is 44143399.

It is a self number, because there is not a number n which added to its sum of digits gives 9933414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242278380 + ... + 242278420.

It is an arithmetic number, because the mean of its divisors is an integer number (61960506).

Almost surely, 2^9933414400 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 9933414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614047512).

9933414400 is an abundant number, since it is smaller than the sum of its proper divisors (21294680624).

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

9933414400 is a wasteful number, since it uses less digits than its factorization.

9933414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 9933414400 is about 99666.5159419150. The cubic root of 9933414400 is about 2149.6422263878.

Adding to 9933414400 its reverse (44143399), we get a palindrome (9977557799).

The spelling of 9933414400 in words is "nine billion, nine hundred thirty-three million, four hundred fourteen thousand, four hundred".