4002166721 has 16 divisors (see below), whose sum is σ = 4767776640. Its totient is φ = 3286832640.

The previous prime is 4002166709. The next prime is 4002166739. The reversal of 4002166721 is 1276612004.

It is not a de Polignac number, because 4002166721 - 2⁶ = 4002166657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4002166771) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48656 + ... + 101841.

It is an arithmetic number, because the mean of its divisors is an integer number (297986040).

Almost surely, 2^4002166721 is an apocalyptic number.

It is an amenable number.

4002166721 is a deficient number, since it is larger than the sum of its proper divisors (765609919).

4002166721 is a wasteful number, since it uses less digits than its factorization.

4002166721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150664.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4002166721 is about 63262.6803178620. The cubic root of 4002166721 is about 1587.6876214976.

Adding to 4002166721 its reverse (1276612004), we get a palindrome (5278778725).

The spelling of 4002166721 in words is "four billion, two million, one hundred sixty-six thousand, seven hundred twenty-one".