4082181120 has 132 divisors (see below), whose sum is σ = 14144810940. Its totient is φ = 1088569344.

The previous prime is 4082181119. The next prime is 4082181121. The reversal of 4082181120 is 211812804.

It is an interprime number because it is at equal distance from previous prime (4082181119) and next prime (4082181121).

It can be written as a sum of positive squares in 2 ways, for example, as 2425365504 + 1656815616 = 49248^2 + 40704^2 .

It is not an unprimeable number, because it can be changed into a prime (4082181121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786 + ... + 90374.

Almost surely, 2^4082181120 is an apocalyptic number.

4082181120 is a gapful number since it is divisible by the number (40) 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 4082181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072405470).

4082181120 is an abundant number, since it is smaller than the sum of its proper divisors (10062629820).

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

4082181120 is a wasteful number, since it uses less digits than its factorization.

4082181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88620 (or 88599 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 4082181120 is about 63891.9487885602. The cubic root of 4082181120 is about 1598.1986393652.

Adding to 4082181120 its reverse (211812804), we get a palindrome (4293993924).

The spelling of 4082181120 in words is "four billion, eighty-two million, one hundred eighty-one thousand, one hundred twenty".