4116444167 has 8 divisors (see below), whose sum is σ = 4491130752. Its totient is φ = 3741835000.

The previous prime is 4116444161. The next prime is 4116444203. The reversal of 4116444167 is 7614446114.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4116444167 - 2¹² = 4116440071 is a prime.

It is a super-2 number, since 2×4116444167² = 33890225160056647778, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4116444167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116444161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 198542 + ... + 218292.

It is an arithmetic number, because the mean of its divisors is an integer number (561391344).

Almost surely, 2^4116444167 is an apocalyptic number.

4116444167 is a deficient number, since it is larger than the sum of its proper divisors (374686585).

4116444167 is a wasteful number, since it uses less digits than its factorization.

4116444167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38709.

The product of its digits is 64512, while the sum is 38.

The square root of 4116444167 is about 64159.5212497724. The cubic root of 4116444167 is about 1602.6575842462.

The spelling of 4116444167 in words is "four billion, one hundred sixteen million, four hundred forty-four thousand, one hundred sixty-seven".