204213244404240 has 240 divisors, whose sum is σ = 745199209198080. Its totient is φ = 49926497679360.

The previous prime is 204213244404151. The next prime is 204213244404263. The reversal of 204213244404240 is 42404442312402.

204213244404240 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 1 + 3 + 2 + 4 + 4 + 404 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 204213244404195 and 204213244404204.

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, 240347997 + ... + 241196156.

It is an arithmetic number, because the mean of its divisors is an integer number (3104996704992).

Almost surely, 2^{204213244404240} is an apocalyptic number.

204213244404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204213244404240 is an abundant number, since it is smaller than the sum of its proper divisors (540985964793840).

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

204213244404240 is a wasteful number, since it uses less digits than its factorization.

204213244404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481544222 (or 481544213 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204213244404240 its reverse (42404442312402), we get a palindrome (246617686716642).

The spelling of 204213244404240 in words is "two hundred four trillion, two hundred thirteen billion, two hundred forty-four million, four hundred four thousand, two hundred forty".