9333416400 has 480 divisors, whose sum is σ = 37755583488. Its totient is φ = 1914470400.

The previous prime is 9333416371. The next prime is 9333416453. The reversal of 9333416400 is 46143339.

It is a super-2 number, since 2×9333416400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7668592 + ... + 7669808.

Almost surely, 2^9333416400 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 9333416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18877791744).

9333416400 is an abundant number, since it is smaller than the sum of its proper divisors (28422167088).

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

9333416400 is a wasteful number, since it uses less digits than its factorization.

9333416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 9333416400 is about 96609.6082178165. The cubic root of 9333416400 is about 2105.4594453781.

Adding to 9333416400 its reverse (46143339), we get a palindrome (9379559739).

The spelling of 9333416400 in words is "nine billion, three hundred thirty-three million, four hundred sixteen thousand, four hundred".