204132013040 has 240 divisors, whose sum is σ = 516970304640. Its totient is φ = 74909491200.

The previous prime is 204132013003. The next prime is 204132013073. The reversal of 204132013040 is 40310231402.

204132013040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 137092616 + ... + 137094104.

It is an arithmetic number, because the mean of its divisors is an integer number (2154042936).

Almost surely, 2^204132013040 is an apocalyptic number.

204132013040 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 204132013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258485152320).

204132013040 is an abundant number, since it is smaller than the sum of its proper divisors (312838291600).

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

204132013040 is a wasteful number, since it uses less digits than its factorization.

204132013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 204132013040 its reverse (40310231402), we get a palindrome (244442244442).

The spelling of 204132013040 in words is "two hundred four billion, one hundred thirty-two million, thirteen thousand, forty".