204439814040 has 768 divisors, whose sum is σ = 816059059200. Its totient is φ = 40037437440.

The previous prime is 204439814027. The next prime is 204439814077. The reversal of 204439814040 is 40418934402.

It is a super-2 number, since 2×204439814040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204439814040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126744274 + ... + 126745886.

It is an arithmetic number, because the mean of its divisors is an integer number (1062576900).

Almost surely, 2^204439814040 is an apocalyptic number.

204439814040 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 204439814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408029529600).

204439814040 is an abundant number, since it is smaller than the sum of its proper divisors (611619245160).

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

204439814040 is a wasteful number, since it uses less digits than its factorization.

204439814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 204439814040 in words is "two hundred four billion, four hundred thirty-nine million, eight hundred fourteen thousand, forty".