22132310400 has 480 divisors, whose sum is σ = 82565511600. Its totient is φ = 5837598720.

The previous prime is 22132310377. The next prime is 22132310401. The reversal of 22132310400 is 401323122.

22132310400 is a `hidden beast` number, since 22 + 13 + 231 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26697186 + ... + 26698014.

Almost surely, 2^22132310400 is an apocalyptic number.

22132310400 is a gapful number since it is divisible by the number (20) 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 22132310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41282755800).

22132310400 is an abundant number, since it is smaller than the sum of its proper divisors (60433201200).

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

22132310400 is a wasteful number, since it uses less digits than its factorization.

22132310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22132310400 its reverse (401323122), we get a palindrome (22533633522).

The spelling of 22132310400 in words is "twenty-two billion, one hundred thirty-two million, three hundred ten thousand, four hundred".