10233392400 has 1440 divisors, whose sum is σ = 48932582400. Its totient is φ = 1916006400.

The previous prime is 10233392363. The next prime is 10233392413. The reversal of 10233392400 is 429333201.

It is a happy number.

10233392400 is a `hidden beast` number, since 1 + 0 + 233 + 392 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152737167 + ... + 152737233.

It is an arithmetic number, because the mean of its divisors is an integer number (33980960).

Almost surely, 2^10233392400 is an apocalyptic number.

10233392400 is a gapful number since it is divisible by the number (10) 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 10233392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466291200).

10233392400 is an abundant number, since it is smaller than the sum of its proper divisors (38699190000).

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

10233392400 is a wasteful number, since it uses less digits than its factorization.

10233392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 10233392400 in words is "ten billion, two hundred thirty-three million, three hundred ninety-two thousand, four hundred".