204131975040 has 1536 divisors, whose sum is σ = 898200576000. Its totient is φ = 43266908160.

The previous prime is 204131974999. The next prime is 204131975041. The reversal of 204131975040 is 40579131402.

204131975040 is a `hidden beast` number, since 2 + 0 + 413 + 197 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204131974986 and 204131975004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204131975041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1468575291 + ... + 1468575429.

It is an arithmetic number, because the mean of its divisors is an integer number (584766000).

Almost surely, 2^204131975040 is an apocalyptic number.

204131975040 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 204131975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288000).

204131975040 is an abundant number, since it is smaller than the sum of its proper divisors (694068600960).

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

204131975040 is a wasteful number, since it uses less digits than its factorization.

204131975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 204131975040 in words is "two hundred four billion, one hundred thirty-one million, nine hundred seventy-five thousand, forty".