22433440000 has 180 divisors, whose sum is σ = 56391558300. Its totient is φ = 8903680000.

The previous prime is 22433439991. The next prime is 22433440019. The reversal of 22433440000 is 4433422.

It can be written as a sum of positive squares in 10 ways, for example, as 19878744064 + 2554695936 = 140992^2 + 50544^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 23839530 + ... + 23840470.

It is an arithmetic number, because the mean of its divisors is an integer number (313286435).

Almost surely, 2^22433440000 is an apocalyptic number.

22433440000 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 22433440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195779150).

22433440000 is an abundant number, since it is smaller than the sum of its proper divisors (33958118300).

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

22433440000 is an frugal number, since it uses more digits than its factorization.

22433440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 22433440000 its reverse (4433422), we get a palindrome (22437873422).

The spelling of 22433440000 in words is "twenty-two billion, four hundred thirty-three million, four hundred forty thousand".