20022400400 has 120 divisors (see below), whose sum is σ = 49959391680. Its totient is φ = 7702213120.

The previous prime is 20022400397. The next prime is 20022400561. The reversal of 20022400400 is 400422002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3047519 + ... + 3054081.

It is an arithmetic number, because the mean of its divisors is an integer number (416328264).

Almost surely, 2^20022400400 is an apocalyptic number.

20022400400 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 20022400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979695840).

20022400400 is an abundant number, since it is smaller than the sum of its proper divisors (29936991280).

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

20022400400 is a wasteful number, since it uses less digits than its factorization.

20022400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6873 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20022400400 its reverse (400422002), we get a palindrome (20422822402).

The spelling of 20022400400 in words is "twenty billion, twenty-two million, four hundred thousand, four hundred".