204432120040240 has 80 divisors (see below), whose sum is σ = 497361143420928. Its totient is φ = 78061586623488.

The previous prime is 204432120040231. The next prime is 204432120040241. The reversal of 204432120040240 is 42040021234402.

204432120040240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 204432120040199 and 204432120040208.

It is not an unprimeable number, because it can be changed into a prime (204432120040241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651398832 + ... + 651712591.

Almost surely, 2^{204432120040240} is an apocalyptic number.

204432120040240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204432120040240 is an abundant number, since it is smaller than the sum of its proper divisors (292929023380688).

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

204432120040240 is a wasteful number, since it uses less digits than its factorization.

204432120040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303111526 (or 1303111520 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204432120040240 its reverse (42040021234402), we get a palindrome (246472141274642).

The spelling of 204432120040240 in words is "two hundred four trillion, four hundred thirty-two billion, one hundred twenty million, forty thousand, two hundred forty".