204420202420 has 96 divisors (see below), whose sum is σ = 495815862528. Its totient is φ = 69345196032.

The previous prime is 204420202381. The next prime is 204420202433. The reversal of 204420202420 is 24202024402.

It is a happy number.

204420202420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204420202391 and 204420202400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9275334 + ... + 9297346.

It is an arithmetic number, because the mean of its divisors is an integer number (5164748568).

Almost surely, 2^204420202420 is an apocalyptic number.

204420202420 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 204420202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247907931264).

204420202420 is an abundant number, since it is smaller than the sum of its proper divisors (291395660108).

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

204420202420 is a wasteful number, since it uses less digits than its factorization.

204420202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22729 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 204420202420 its reverse (24202024402), we get a palindrome (228622226822).

The spelling of 204420202420 in words is "two hundred four billion, four hundred twenty million, two hundred two thousand, four hundred twenty".