204138941040 has 100 divisors (see below), whose sum is σ = 709004807544. Its totient is φ = 54437049216.

The previous prime is 204138941033. The next prime is 204138941053. The reversal of 204138941040 is 40149831402.

It is a happy number.

204138941040 is a `hidden beast` number, since 204 + 1 + 38 + 9 + 410 + 4 + 0 = 666.

204138941040 is digitally balanced in base 7, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 204138940986 and 204138941004.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15744982 + ... + 15757941.

Almost surely, 2^204138941040 is an apocalyptic number.

204138941040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204138941040 is an abundant number, since it is smaller than the sum of its proper divisors (504865866504).

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

204138941040 is a wasteful number, since it uses less digits than its factorization.

204138941040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502948 (or 31502933 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 204138941040 in words is "two hundred four billion, one hundred thirty-eight million, nine hundred forty-one thousand, forty".