22144251420 has 240 divisors, whose sum is σ = 73414978560. Its totient is φ = 5576148864.

The previous prime is 22144251419. The next prime is 22144251431. The reversal of 22144251420 is 2415244122.

It is a happy number.

22144251420 is a `hidden beast` number, since 2 + 2 + 144 + 2 + 514 + 2 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 2939779 + ... + 2947301.

It is an arithmetic number, because the mean of its divisors is an integer number (305895744).

Almost surely, 2^22144251420 is an apocalyptic number.

22144251420 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 22144251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36707489280).

22144251420 is an abundant number, since it is smaller than the sum of its proper divisors (51270727140).

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

22144251420 is a wasteful number, since it uses less digits than its factorization.

22144251420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22144251420 its reverse (2415244122), we get a palindrome (24559495542).

The spelling of 22144251420 in words is "twenty-two billion, one hundred forty-four million, two hundred fifty-one thousand, four hundred twenty".