4162114224 has 120 divisors (see below), whose sum is σ = 12198906720. Its totient is φ = 1322213376.

The previous prime is 4162114223. The next prime is 4162114261. The reversal of 4162114224 is 4224112614.

4162114224 is a `hidden beast` number, since 4 + 1 + 621 + 14 + 2 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4162114223) 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, 968272 + ... + 972560.

It is an arithmetic number, because the mean of its divisors is an integer number (101657556).

Almost surely, 2^4162114224 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 4162114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099453360).

4162114224 is an abundant number, since it is smaller than the sum of its proper divisors (8036792496).

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

4162114224 is a wasteful number, since it uses less digits than its factorization.

4162114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4610 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4162114224 is about 64514.4497302736. The cubic root of 4162114224 is about 1608.5627161025.

Adding to 4162114224 its reverse (4224112614), we get a palindrome (8386226838).

The spelling of 4162114224 in words is "four billion, one hundred sixty-two million, one hundred fourteen thousand, two hundred twenty-four".