200281642040160 has 192 divisors, whose sum is σ = 701031971021760. Its totient is φ = 53404916060160.

The previous prime is 200281642040119. The next prime is 200281642040191. The reversal of 200281642040160 is 61040246182002.

200281642040160 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 8 + 1 + 642 + 0 + 4 + 0 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×200281642040160² (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 congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64320174 + ... + 67362066.

It is an arithmetic number, because the mean of its divisors is an integer number (3651208182405).

Almost surely, 2^{200281642040160} is an apocalyptic number.

200281642040160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200281642040160 is an abundant number, since it is smaller than the sum of its proper divisors (500750328981600).

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

200281642040160 is a wasteful number, since it uses less digits than its factorization.

200281642040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057158 (or 3057144 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 200281642040160 in words is "two hundred trillion, two hundred eighty-one billion, six hundred forty-two million, forty thousand, one hundred sixty".