10332022400 has 288 divisors, whose sum is σ = 29976518880. Its totient is φ = 3508377600.

The previous prime is 10332022367. The next prime is 10332022409. The reversal of 10332022400 is 422023301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332022409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20540549 + ... + 20541051.

It is an arithmetic number, because the mean of its divisors is an integer number (104085135).

Almost surely, 2^10332022400 is an apocalyptic number.

10332022400 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 10332022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988259440).

10332022400 is an abundant number, since it is smaller than the sum of its proper divisors (19644496480).

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

10332022400 is a wasteful number, since it uses less digits than its factorization.

10332022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10332022400 its reverse (422023301), we get a palindrome (10754045701).

Subtracting from 10332022400 its reverse (422023301), we obtain a palindrome (9909999099).

The spelling of 10332022400 in words is "ten billion, three hundred thirty-two million, twenty-two thousand, four hundred".