10233003424400 has 60 divisors (see below), whose sum is σ = 25878727100400. Its totient is φ = 3877769715840.

The previous prime is 10233003424361. The next prime is 10233003424409. The reversal of 10233003424400 is 442430033201.

It is a self number, because there is not a number n which added to its sum of digits gives 10233003424400.

It is not an unprimeable number, because it can be changed into a prime (10233003424409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673216310 + ... + 673231509.

It is an arithmetic number, because the mean of its divisors is an integer number (431312118340).

Almost surely, 2^{10233003424400} is an apocalyptic number.

10233003424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233003424400 is an abundant number, since it is smaller than the sum of its proper divisors (15645723676000).

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

10233003424400 is a wasteful number, since it uses less digits than its factorization.

10233003424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346447856 (or 1346447845 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10233003424400 its reverse (442430033201), we get a palindrome (10675433457601).

The spelling of 10233003424400 in words is "ten trillion, two hundred thirty-three billion, three million, four hundred twenty-four thousand, four hundred".