10333332400 has 240 divisors, whose sum is σ = 26852031360. Its totient is φ = 3809894400.

The previous prime is 10333332379. The next prime is 10333332413. The reversal of 10333332400 is 423333301.

10333332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 78880335 + ... + 78880465.

It is an arithmetic number, because the mean of its divisors is an integer number (111883464).

Almost surely, 2^10333332400 is an apocalyptic number.

10333332400 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 10333332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426015680).

10333332400 is an abundant number, since it is smaller than the sum of its proper divisors (16518698960).

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

10333332400 is a wasteful number, since it uses less digits than its factorization.

10333332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 10333332400 its reverse (423333301), we get a palindrome (10756665701).

Subtracting from 10333332400 its reverse (423333301), we obtain a palindrome (9909999099).

The spelling of 10333332400 in words is "ten billion, three hundred thirty-three million, three hundred thirty-two thousand, four hundred".