4171830416 has 80 divisors (see below), whose sum is σ = 8969009280. Its totient is φ = 1867622400.

The previous prime is 4171830407. The next prime is 4171830419. The reversal of 4171830416 is 6140381714.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4171830419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349000 + ... + 1352088.

It is an arithmetic number, because the mean of its divisors is an integer number (112112616).

Almost surely, 2^4171830416 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 4171830416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484504640).

4171830416 is an abundant number, since it is smaller than the sum of its proper divisors (4797178864).

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

4171830416 is a wasteful number, since it uses less digits than its factorization.

4171830416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 4171830416 is about 64589.7082823572. The cubic root of 4171830416 is about 1609.8134392833.

The spelling of 4171830416 in words is "four billion, one hundred seventy-one million, eight hundred thirty thousand, four hundred sixteen".