205260460133040 has 240 divisors, whose sum is σ = 752814422418240. Its totient is φ = 49814022666240.

The previous prime is 205260460132979. The next prime is 205260460133041. The reversal of 205260460133040 is 40331064062502.

205260460133040 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 6 + 0 + 4 + 601 + 3 + 3 + 0 + 40 = 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 = 205260460132986 and 205260460133004.

It is not an unprimeable number, because it can be changed into a prime (205260460133041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153768795 + ... + 155097914.

It is an arithmetic number, because the mean of its divisors is an integer number (3136726760076).

Almost surely, 2^{205260460133040} is an apocalyptic number.

205260460133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205260460133040 is an abundant number, since it is smaller than the sum of its proper divisors (547553962285200).

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

205260460133040 is a wasteful number, since it uses less digits than its factorization.

205260460133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308866812 (or 308866803 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 205260460133040 in words is "two hundred five trillion, two hundred sixty billion, four hundred sixty million, one hundred thirty-three thousand, forty".