4163134416 has 240 divisors, whose sum is σ = 12896317440. Its totient is φ = 1133233920.

The previous prime is 4163134379. The next prime is 4163134421. The reversal of 4163134416 is 6144313614.

It is a super-3 number, since 3×4163134416³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52697865 + ... + 52697943.

It is an arithmetic number, because the mean of its divisors is an integer number (53734656).

Almost surely, 2^4163134416 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 4163134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448158720).

4163134416 is an abundant number, since it is smaller than the sum of its proper divisors (8733183024).

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

4163134416 is a wasteful number, since it uses less digits than its factorization.

4163134416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 209 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 4163134416 is about 64522.3559396276. The cubic root of 4163134416 is about 1608.6941323862.

The spelling of 4163134416 in words is "four billion, one hundred sixty-three million, one hundred thirty-four thousand, four hundred sixteen".