20004222200400 has 90 divisors (see below), whose sum is σ = 69420207776270. Its totient is φ = 5334459252480.

The previous prime is 20004222200377. The next prime is 20004222200419. The reversal of 20004222200400 is 400222240002.

20004222200400 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 42 + 2 + 220 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5976440744976 + 14027781455424 = 2444676^2 + 3745368^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 2778360595 + ... + 2778367794.

Almost surely, 2^{20004222200400} is an apocalyptic number.

20004222200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20004222200400 is an abundant number, since it is smaller than the sum of its proper divisors (49415985575870).

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

20004222200400 is a wasteful number, since it uses less digits than its factorization.

20004222200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556728413 (or 5556728399 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20004222200400 its reverse (400222240002), we get a palindrome (20404444440402).

The spelling of 20004222200400 in words is "twenty trillion, four billion, two hundred twenty-two million, two hundred thousand, four hundred".