204432342314040 has 192 divisors, whose sum is σ = 683623329161760. Its totient is φ = 52943858979840.

The previous prime is 204432342314021. The next prime is 204432342314063. The reversal of 204432342314040 is 40413243234402.

204432342314040 is a `hidden beast` number, since 2 + 0 + 4 + 432 + 3 + 42 + 3 + 140 + 40 = 666.

It is a super-2 number, since 2×204432342314040² (a number of 29 digits) contains 22 as substring.

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 = 204432342313986 and 204432342314004.

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, 6978514 + ... + 21390753.

Almost surely, 2^{204432342314040} is an apocalyptic number.

204432342314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204432342314040 is an abundant number, since it is smaller than the sum of its proper divisors (479190986847720).

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

204432342314040 is a wasteful number, since it uses less digits than its factorization.

204432342314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28369862 (or 28369855 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 204432342314040 its reverse (40413243234402), we get a palindrome (244845585548442).

The spelling of 204432342314040 in words is "two hundred four trillion, four hundred thirty-two billion, three hundred forty-two million, three hundred fourteen thousand, forty".