20225443440000 has 320 divisors, whose sum is σ = 67325940990000. Its totient is φ = 5377975296000.

The previous prime is 20225443439989. The next prime is 20225443440043. The reversal of 20225443440000 is 4434452202.

It is a tau number, because it is divible by the number of its divisors (320).

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 20225443440000.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 83639266 + ... + 83880734.

Almost surely, 2^{20225443440000} is an apocalyptic number.

20225443440000 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 20225443440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33662970495000).

20225443440000 is an abundant number, since it is smaller than the sum of its proper divisors (47100497550000).

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

20225443440000 is an equidigital number, since it uses as much as digits as its factorization.

20225443440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241855 (or 241828 counting only the distinct ones).

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

Adding to 20225443440000 its reverse (4434452202), we get a palindrome (20229877892202).

The spelling of 20225443440000 in words is "twenty trillion, two hundred twenty-five billion, four hundred forty-three million, four hundred forty thousand".