4171216896 has 288 divisors, whose sum is σ = 15025046400. Its totient is φ = 1083064320.

The previous prime is 4171216891. The next prime is 4171216901. The reversal of 4171216896 is 6986121714.

It is an interprime number because it is at equal distance from previous prime (4171216891) and next prime (4171216901).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4171216891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417795 + ... + 1420733.

It is an arithmetic number, because the mean of its divisors is an integer number (52170300).

Almost surely, 2^4171216896 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 4171216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512523200).

4171216896 is an abundant number, since it is smaller than the sum of its proper divisors (10853829504).

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

4171216896 is a wasteful number, since it uses less digits than its factorization.

4171216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2962 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 4171216896 is about 64584.9587442773. The cubic root of 4171216896 is about 1609.7345209939.

The spelling of 4171216896 in words is "four billion, one hundred seventy-one million, two hundred sixteen thousand, eight hundred ninety-six".