22433244240000 has 1280 divisors, whose sum is σ = 84245432832000. Its totient is φ = 5238220800000.

The previous prime is 22433244239993. The next prime is 22433244240007. The reversal of 22433244240000 is 4244233422.

It is an interprime number because it is at equal distance from previous prime (22433244239993) and next prime (22433244240007).

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

It is a self number, because there is not a number n which added to its sum of digits gives 22433244240000.

It is not an unprimeable number, because it can be changed into a prime (22433244240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22014959491 + ... + 22014960509.

It is an arithmetic number, because the mean of its divisors is an integer number (65816744400).

Almost surely, 2^{22433244240000} is an apocalyptic number.

22433244240000 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 22433244240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42122716416000).

22433244240000 is an abundant number, since it is smaller than the sum of its proper divisors (61812188592000).

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

22433244240000 is a wasteful number, since it uses less digits than its factorization.

22433244240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 22433244240000 its reverse (4244233422), we get a palindrome (22437488473422).

The spelling of 22433244240000 in words is "twenty-two trillion, four hundred thirty-three billion, two hundred forty-four million, two hundred forty thousand".