4000716180 has 36 divisors (see below), whose sum is σ = 12135506292. Its totient is φ = 1066857600.

The previous prime is 4000716179. The next prime is 4000716193. The reversal of 4000716180 is 816170004.

It is a happy number.

4000716180 is a `hidden beast` number, since 40 + 0 + 0 + 7 + 1 + 618 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1703047824 + 2297668356 = 41268^2 + 47934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11112921 + ... + 11113280.

It is an arithmetic number, because the mean of its divisors is an integer number (337097397).

Almost surely, 2^4000716180 is an apocalyptic number.

It is an amenable number.

4000716180 is an abundant number, since it is smaller than the sum of its proper divisors (8134790112).

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

4000716180 is a wasteful number, since it uses less digits than its factorization.

4000716180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22226216 (or 22226211 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4000716180 is about 63251.2148499932. The cubic root of 4000716180 is about 1587.4957850550.

Adding to 4000716180 its reverse (816170004), we get a palindrome (4816886184).

The spelling of 4000716180 in words is "four billion, seven hundred sixteen thousand, one hundred eighty".