22424440400 has 120 divisors (see below), whose sum is σ = 54488700000. Its totient is φ = 8868160000.

The previous prime is 22424440373. The next prime is 22424440403. The reversal of 22424440400 is 404442422.

It is a self number, because there is not a number n which added to its sum of digits gives 22424440400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424440403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14958851 + ... + 14960349.

It is an arithmetic number, because the mean of its divisors is an integer number (454072500).

Almost surely, 2^22424440400 is an apocalyptic number.

22424440400 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 22424440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244350000).

22424440400 is an abundant number, since it is smaller than the sum of its proper divisors (32064259600).

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

22424440400 is a wasteful number, since it uses less digits than its factorization.

22424440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 22424440400 its reverse (404442422), we get a palindrome (22828882822).

The spelling of 22424440400 in words is "twenty-two billion, four hundred twenty-four million, four hundred forty thousand, four hundred".