10233304400 has 120 divisors (see below), whose sum is σ = 27033222144. Its totient is φ = 3691699200.

The previous prime is 10233304381. The next prime is 10233304423. The reversal of 10233304400 is 440333201.

10233304400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549644 + ... + 567956.

Almost surely, 2^10233304400 is an apocalyptic number.

10233304400 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 10233304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516611072).

10233304400 is an abundant number, since it is smaller than the sum of its proper divisors (16799917744).

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

10233304400 is a wasteful number, since it uses less digits than its factorization.

10233304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10233304400 its reverse (440333201), we get a palindrome (10673637601).

The spelling of 10233304400 in words is "ten billion, two hundred thirty-three million, three hundred four thousand, four hundred".