22622440400 has 120 divisors (see below), whose sum is σ = 62173163520. Its totient is φ = 7748974080.

The previous prime is 22622440397. The next prime is 22622440403. The reversal of 22622440400 is 404422622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22622440397) and next prime (22622440403).

It is a self number, because there is not a number n which added to its sum of digits gives 22622440400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22622440403) 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, 3578042 + ... + 3584358.

It is an arithmetic number, because the mean of its divisors is an integer number (518109696).

Almost surely, 2^22622440400 is an apocalyptic number.

22622440400 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 22622440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31086581760).

22622440400 is an abundant number, since it is smaller than the sum of its proper divisors (39550723120).

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

22622440400 is a wasteful number, since it uses less digits than its factorization.

22622440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 22622440400 in words is "twenty-two billion, six hundred twenty-two million, four hundred forty thousand, four hundred".