204440414100 has 144 divisors (see below), whose sum is σ = 639799883520. Its totient is φ = 50103820800.

The previous prime is 204440414093. The next prime is 204440414141. The reversal of 204440414100 is 1414044402.

It is a happy number.

204440414100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778645 + ... + 1007555.

Almost surely, 2^204440414100 is an apocalyptic number.

204440414100 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 204440414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319899941760).

204440414100 is an abundant number, since it is smaller than the sum of its proper divisors (435359469420).

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

204440414100 is a wasteful number, since it uses less digits than its factorization.

204440414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229170 (or 229163 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204440414100 its reverse (1414044402), we get a palindrome (205854458502).

The spelling of 204440414100 in words is "two hundred four billion, four hundred forty million, four hundred fourteen thousand, one hundred".