22444415400 has 384 divisors, whose sum is σ = 78949232640. Its totient is φ = 5225472000.

The previous prime is 22444415387. The next prime is 22444415419. The reversal of 22444415400 is 451444422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33349464 + ... + 33350136.

It is an arithmetic number, because the mean of its divisors is an integer number (205596960).

Almost surely, 2^22444415400 is an apocalyptic number.

22444415400 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 22444415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39474616320).

22444415400 is an abundant number, since it is smaller than the sum of its proper divisors (56504817240).

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

22444415400 is a wasteful number, since it uses less digits than its factorization.

22444415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 22444415400 its reverse (451444422), we get a palindrome (22895859822).

The spelling of 22444415400 in words is "twenty-two billion, four hundred forty-four million, four hundred fifteen thousand, four hundred".