204024040020 has 162 divisors, whose sum is σ = 626069235246. Its totient is φ = 53781012480.

The previous prime is 204024040019. The next prime is 204024040063. The reversal of 204024040020 is 20040420402.

204024040020 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 240 + 400 + 20 = 666.

204024040020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 141156501264 + 62867538756 = 375708^2 + 250734^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 204024039975 and 204024040002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 793867732 + ... + 793867988.

Almost surely, 2^204024040020 is an apocalyptic number.

204024040020 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 204024040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313034617623).

204024040020 is an abundant number, since it is smaller than the sum of its proper divisors (422045195226).

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

204024040020 is a wasteful number, since it uses less digits than its factorization.

204024040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 398 counting only the distinct ones).

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

Adding to 204024040020 its reverse (20040420402), we get a palindrome (224064460422).

The spelling of 204024040020 in words is "two hundred four billion, twenty-four million, forty thousand, twenty".