204400424000 has 112 divisors (see below), whose sum is σ = 506596564656. Its totient is φ = 81695744000.

The previous prime is 204400423987. The next prime is 204400424009. The reversal of 204400424000 is 424004402.

It can be written as a sum of positive squares in 8 ways, for example, as 32135581696 + 172264842304 = 179264^2 + 415048^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204400424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10878614 + ... + 10897386.

It is an arithmetic number, because the mean of its divisors is an integer number (4523183613).

Almost surely, 2^204400424000 is an apocalyptic number.

204400424000 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 204400424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253298282328).

204400424000 is an abundant number, since it is smaller than the sum of its proper divisors (302196140656).

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

204400424000 is a wasteful number, since it uses less digits than its factorization.

204400424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204400424000 its reverse (424004402), we get a palindrome (204824428402).

The spelling of 204400424000 in words is "two hundred four billion, four hundred million, four hundred twenty-four thousand".