22415334400 has 132 divisors (see below), whose sum is σ = 55795455648. Its totient is φ = 8928624640.

The previous prime is 22415334391. The next prime is 22415334401. The reversal of 22415334400 is 443351422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22415334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6577497 + ... + 6580903.

Almost surely, 2^22415334400 is an apocalyptic number.

22415334400 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 22415334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27897727824).

22415334400 is an abundant number, since it is smaller than the sum of its proper divisors (33380121248).

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

22415334400 is a wasteful number, since it uses less digits than its factorization.

22415334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 22415334400 its reverse (443351422), we get a palindrome (22858685822).

The spelling of 22415334400 in words is "twenty-two billion, four hundred fifteen million, three hundred thirty-four thousand, four hundred".