20422442440400 has 1440 divisors, whose sum is σ = 71300512725120. Its totient is φ = 5509969920000.

The previous prime is 20422442440373. The next prime is 20422442440409. The reversal of 20422442440400 is 404424422402.

It is a super-2 number, since 2×20422442440400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422442440409) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5378571302 + ... + 5378575098.

It is an arithmetic number, because the mean of its divisors is an integer number (49514244948).

Almost surely, 2^{20422442440400} is an apocalyptic number.

20422442440400 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 20422442440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35650256362560).

20422442440400 is an abundant number, since it is smaller than the sum of its proper divisors (50878070284720).

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

20422442440400 is a wasteful number, since it uses less digits than its factorization.

20422442440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 20422442440400 its reverse (404424422402), we get a palindrome (20826866862802).

It can be divided in two parts, 204224 and 42440400, that added together give a palindrome (42644624).

The spelling of 20422442440400 in words is "twenty trillion, four hundred twenty-two billion, four hundred forty-two million, four hundred forty thousand, four hundred".