22540321440000 has 2160 divisors, whose sum is σ = 104357762826240. Its totient is φ = 4755179520000.

The previous prime is 22540321439981. The next prime is 22540321440017. The reversal of 22540321440000 is 4412304522.

22540321440000 is a `hidden beast` number, since 2 + 2 + 5 + 40 + 3 + 214 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2751835905 + ... + 2751844095.

Almost surely, 2^{22540321440000} is an apocalyptic number.

22540321440000 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 22540321440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52178881413120).

22540321440000 is an abundant number, since it is smaller than the sum of its proper divisors (81817441386240).

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

22540321440000 is an equidigital number, since it uses as much as digits as its factorization.

22540321440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22540321440000 its reverse (4412304522), we get a palindrome (22544733744522).

The spelling of 22540321440000 in words is "twenty-two trillion, five hundred forty billion, three hundred twenty-one million, four hundred forty thousand".