22440253440000 has 900 divisors, whose sum is σ = 82203906385832. Its totient is φ = 5439160320000.

The previous prime is 22440253439977. The next prime is 22440253440043. The reversal of 22440253440000 is 4435204422.

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 22440253440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3717116982 + ... + 3717123018.

Almost surely, 2^{22440253440000} is an apocalyptic number.

22440253440000 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 22440253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41101953192916).

22440253440000 is an abundant number, since it is smaller than the sum of its proper divisors (59763652945832).

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

22440253440000 is an frugal number, since it uses more digits than its factorization.

22440253440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22440253440000 its reverse (4435204422), we get a palindrome (22444688644422).

The spelling of 22440253440000 in words is "twenty-two trillion, four hundred forty billion, two hundred fifty-three million, four hundred forty thousand".