218367809130240 has 3456 divisors, whose sum is σ = 1010341144350720. Its totient is φ = 42557871882240.

The previous prime is 218367809130221. The next prime is 218367809130311. The reversal of 218367809130240 is 42031908763812.

It is a happy number.

218367809130240 is a `hidden beast` number, since 2 + 1 + 8 + 367 + 8 + 0 + 9 + 1 + 30 + 240 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 130837512126 + ... + 130837513794.

It is an arithmetic number, because the mean of its divisors is an integer number (292344081120).

Almost surely, 2^{218367809130240} is an apocalyptic number.

218367809130240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218367809130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505170572175360).

218367809130240 is an abundant number, since it is smaller than the sum of its proper divisors (791973335220480).

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

218367809130240 is a wasteful number, since it uses less digits than its factorization.

218367809130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 218367809130240 in words is "two hundred eighteen trillion, three hundred sixty-seven billion, eight hundred nine million, one hundred thirty thousand, two hundred forty".