205166602440 has 48 divisors (see below), whose sum is σ = 666791459100. Its totient is φ = 54711093888.

The previous prime is 205166602369. The next prime is 205166602451. The reversal of 205166602440 is 44206661502.

205166602440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189073650276 + 16092952164 = 434826^2 + 126858^2 .

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 = 205166602395 and 205166602404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284953255 + ... + 284953974.

Almost surely, 2^205166602440 is an apocalyptic number.

205166602440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205166602440 is an abundant number, since it is smaller than the sum of its proper divisors (461624856660).

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

205166602440 is a wasteful number, since it uses less digits than its factorization.

205166602440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569907246 (or 569907239 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 205166602440 in words is "two hundred five billion, one hundred sixty-six million, six hundred two thousand, four hundred forty".