218116040 has 32 divisors (see below), whose sum is σ = 491211000. Its totient is φ = 87166464.

The previous prime is 218116033. The next prime is 218116057. The reversal of 218116040 is 40611812.

It can be written as a sum of positive squares in 4 ways, for example, as 212518084 + 5597956 = 14578^2 + 2366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 218115997 and 218116015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62666 + ... + 66054.

Almost surely, 2^218116040 is an apocalyptic number.

218116040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218116040 is an abundant number, since it is smaller than the sum of its proper divisors (273094960).

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

218116040 is a wasteful number, since it uses less digits than its factorization.

218116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 218116040 is about 14768.7521476935. The cubic root of 218116040 is about 601.9529328220.

Adding to 218116040 its reverse (40611812), we get a palindrome (258727852).

The spelling of 218116040 in words is "two hundred eighteen million, one hundred sixteen thousand, forty".