20422400422400 has 240 divisors, whose sum is σ = 52252957025280. Its totient is φ = 7902014668800.

The previous prime is 20422400422313. The next prime is 20422400422423. The reversal of 20422400422400 is 422400422402.

It is a self number, because there is not a number n which added to its sum of digits gives 20422400422400.

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 23 ways as a sum of consecutive naturals, for example, 1035241337 + ... + 1035261063.

It is an arithmetic number, because the mean of its divisors is an integer number (217720654272).

Almost surely, 2^{20422400422400} is an apocalyptic number.

20422400422400 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 20422400422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26126478512640).

20422400422400 is an abundant number, since it is smaller than the sum of its proper divisors (31830556602880).

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

20422400422400 is a wasteful number, since it uses less digits than its factorization.

20422400422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22395 (or 22374 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20422400422400 its reverse (422400422402), we get a palindrome (20844800844802).

The spelling of 20422400422400 in words is "twenty trillion, four hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, four hundred".