20422541222400 has 480 divisors, whose sum is σ = 68117697331200. Its totient is φ = 5393445765120.

The previous prime is 20422541222387. The next prime is 20422541222429. The reversal of 20422541222400 is 422214522402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2960214151 + ... + 2960221049.

It is an arithmetic number, because the mean of its divisors is an integer number (141911869440).

Almost surely, 2^{20422541222400} is an apocalyptic number.

20422541222400 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 20422541222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34058848665600).

20422541222400 is an abundant number, since it is smaller than the sum of its proper divisors (47695156108800).

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

20422541222400 is a wasteful number, since it uses less digits than its factorization.

20422541222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 20422541222400 its reverse (422214522402), we get a palindrome (20844755744802).

The spelling of 20422541222400 in words is "twenty trillion, four hundred twenty-two billion, five hundred forty-one million, two hundred twenty-two thousand, four hundred".