4413171168 has 192 divisors, whose sum is σ = 15576261120. Its totient is φ = 1186707456.

The previous prime is 4413171163. The next prime is 4413171197. The reversal of 4413171168 is 8611713144.

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

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 (4413171163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81355 + ... + 124277.

It is an arithmetic number, because the mean of its divisors is an integer number (81126360).

Almost surely, 2^4413171168 is an apocalyptic number.

4413171168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4413171168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788130560).

4413171168 is an abundant number, since it is smaller than the sum of its proper divisors (11163089952).

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

4413171168 is a wasteful number, since it uses less digits than its factorization.

4413171168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42966 (or 42952 counting only the distinct ones).

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

The square root of 4413171168 is about 66431.7030340183. The cubic root of 4413171168 is about 1640.2759757658.

The spelling of 4413171168 in words is "four billion, four hundred thirteen million, one hundred seventy-one thousand, one hundred sixty-eight".