4181166720 has 96 divisors (see below), whose sum is σ = 14438111220. Its totient is φ = 1114976256.

The previous prime is 4181166707. The next prime is 4181166763. The reversal of 4181166720 is 276611814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4017531456 + 163635264 = 63384^2 + 12792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357189 + ... + 368708.

Almost surely, 2^4181166720 is an apocalyptic number.

4181166720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4181166720 is an abundant number, since it is smaller than the sum of its proper divisors (10256944500).

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

4181166720 is a wasteful number, since it uses less digits than its factorization.

4181166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725922 (or 725907 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 4181166720 is about 64661.9418205176. The cubic root of 4181166720 is about 1611.0134329084.

The spelling of 4181166720 in words is "four billion, one hundred eighty-one million, one hundred sixty-six thousand, seven hundred twenty".