4002166720 has 28 divisors (see below), whose sum is σ = 9530160264. Its totient is φ = 1600866560.

The previous prime is 4002166709. The next prime is 4002166739. The reversal of 4002166720 is 276612004.

4002166720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6253066 + ... + 6253705.

Almost surely, 2^4002166720 is an apocalyptic number.

4002166720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002166720 is an abundant number, since it is smaller than the sum of its proper divisors (5527993544).

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

4002166720 is a wasteful number, since it uses less digits than its factorization.

4002166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12506788 (or 12506778 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4002166720 is about 63262.6803099584. The cubic root of 4002166720 is about 1587.6876213654.

Adding to 4002166720 its reverse (276612004), we get a palindrome (4278778724).

The spelling of 4002166720 in words is "four billion, two million, one hundred sixty-six thousand, seven hundred twenty".