20422626400 has 288 divisors, whose sum is σ = 57482320896. Its totient is φ = 7015680000.

The previous prime is 20422626383. The next prime is 20422626403. The reversal of 20422626400 is 462622402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20422626403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11729530 + ... + 11731270.

It is an arithmetic number, because the mean of its divisors is an integer number (199591392).

Almost surely, 2^20422626400 is an apocalyptic number.

20422626400 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 20422626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28741160448).

20422626400 is an abundant number, since it is smaller than the sum of its proper divisors (37059694496).

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

20422626400 is a wasteful number, since it uses less digits than its factorization.

20422626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 20422626400 in words is "twenty billion, four hundred twenty-two million, six hundred twenty-six thousand, four hundred".