204220342100400 has 60 divisors (see below), whose sum is σ = 654185829198792. Its totient is φ = 54458757893120.

The previous prime is 204220342100303. The next prime is 204220342100413. The reversal of 204220342100400 is 4001243022402.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85091808009 + ... + 85091810408.

Almost surely, 2^{204220342100400} is an apocalyptic number.

204220342100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204220342100400 is an abundant number, since it is smaller than the sum of its proper divisors (449965487098392).

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

204220342100400 is a wasteful number, since it uses less digits than its factorization.

204220342100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170183618438 (or 170183618427 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204220342100400 its reverse (4001243022402), we get a palindrome (208221585122802).

The spelling of 204220342100400 in words is "two hundred four trillion, two hundred twenty billion, three hundred forty-two million, one hundred thousand, four hundred".