218270440080 has 240 divisors, whose sum is σ = 913901399424. Its totient is φ = 45354885120.

The previous prime is 218270440079. The next prime is 218270440163. The reversal of 218270440080 is 80044072812.

218270440080 is a `hidden beast` number, since 2 + 182 + 70 + 4 + 400 + 8 + 0 = 666.

218270440080 is digitally balanced in base 2 and base 3, because in such bases 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1913089 + ... + 2023968.

Almost surely, 2^218270440080 is an apocalyptic number.

218270440080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218270440080 is an abundant number, since it is smaller than the sum of its proper divisors (695630959344).

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

218270440080 is a wasteful number, since it uses less digits than its factorization.

218270440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937094 (or 3937085 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 218270440080 in words is "two hundred eighteen billion, two hundred seventy million, four hundred forty thousand, eighty".