204014014004020 has 48 divisors (see below), whose sum is σ = 472628992651200. Its totient is φ = 73353353342720.

The previous prime is 204014014003997. The next prime is 204014014004041. The reversal of 204014014004020 is 20400410410402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 204014014003982 and 204014014004000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5209735630 + ... + 5209774789.

It is an arithmetic number, because the mean of its divisors is an integer number (9846437346900).

Almost surely, 2^{204014014004020} is an apocalyptic number.

204014014004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204014014004020 is an abundant number, since it is smaller than the sum of its proper divisors (268614978647180).

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

204014014004020 is a wasteful number, since it uses less digits than its factorization.

204014014004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10419510528 (or 10419510526 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 204014014004020 its reverse (20400410410402), we get a palindrome (224414424414422).

The spelling of 204014014004020 in words is "two hundred four trillion, fourteen billion, fourteen million, four thousand, twenty".