10332304000 has 128 divisors (see below), whose sum is σ = 25764710400. Its totient is φ = 4120704000.

The previous prime is 10332303997. The next prime is 10332304019. The reversal of 10332304000 is 40323301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7023265 + ... + 7024735.

It is an arithmetic number, because the mean of its divisors is an integer number (201286800).

Almost surely, 2^10332304000 is an apocalyptic number.

10332304000 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 10332304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12882355200).

10332304000 is an abundant number, since it is smaller than the sum of its proper divisors (15432406400).

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

10332304000 is an equidigital number, since it uses as much as digits as its factorization.

10332304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10332304000 its reverse (40323301), we get a palindrome (10372627301).

The spelling of 10332304000 in words is "ten billion, three hundred thirty-two million, three hundred four thousand".