204114432340 has 216 divisors, whose sum is σ = 566740209672. Its totient is φ = 61197534720.

The previous prime is 204114432311. The next prime is 204114432341. The reversal of 204114432340 is 43234411402.

It can be written as a sum of positive squares in 4 ways, for example, as 1070467524 + 203043964816 = 32718^2 + 450604^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204114432299 and 204114432308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114432341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4576950 + ... + 4621330.

It is an arithmetic number, because the mean of its divisors is an integer number (2623797267).

Almost surely, 2^204114432340 is an apocalyptic number.

204114432340 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 204114432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283370104836).

204114432340 is an abundant number, since it is smaller than the sum of its proper divisors (362625777332).

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

204114432340 is a wasteful number, since it uses less digits than its factorization.

204114432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44455 (or 44427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204114432340 its reverse (43234411402), we get a palindrome (247348843742).

The spelling of 204114432340 in words is "two hundred four billion, one hundred fourteen million, four hundred thirty-two thousand, three hundred forty".