4130184168 has 160 divisors (see below), whose sum is σ = 12799321920. Its totient is φ = 1233792000.

The previous prime is 4130184143. The next prime is 4130184169. The reversal of 4130184168 is 8614810314.

It is a happy number.

4130184168 is a `hidden beast` number, since 413 + 0 + 1 + 84 + 168 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4130184169) 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 39 ways as a sum of consecutive naturals, for example, 502008 + ... + 510168.

It is an arithmetic number, because the mean of its divisors is an integer number (79995762).

Almost surely, 2^4130184168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130184168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399660960).

4130184168 is an abundant number, since it is smaller than the sum of its proper divisors (8669137752).

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

4130184168 is a wasteful number, since it uses less digits than its factorization.

4130184168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4130184168 is about 64266.5089140526. The cubic root of 4130184168 is about 1604.4387381567.

The spelling of 4130184168 in words is "four billion, one hundred thirty million, one hundred eighty-four thousand, one hundred sixty-eight".