204550400400 has 120 divisors (see below), whose sum is σ = 672952535424. Its totient is φ = 53072524800.

The previous prime is 204550400359. The next prime is 204550400419. The reversal of 204550400400 is 4004055402.

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259096 + ... + 2347895.

Almost surely, 2^204550400400 is an apocalyptic number.

204550400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204550400400 is an abundant number, since it is smaller than the sum of its proper divisors (468402135024).

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

204550400400 is a wasteful number, since it uses less digits than its factorization.

204550400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607049 (or 4607038 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 204550400400 its reverse (4004055402), we get a palindrome (208554455802).

The spelling of 204550400400 in words is "two hundred four billion, five hundred fifty million, four hundred thousand, four hundred".