4182000000 has 448 divisors, whose sum is σ = 15060744720. Its totient is φ = 1024000000.

The previous prime is 4181999963. The next prime is 4182000023. The reversal of 4182000000 is 2814.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 101999980 + ... + 102000020.

Almost surely, 2^4182000000 is an apocalyptic number.

4182000000 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 4182000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530372360).

4182000000 is an abundant number, since it is smaller than the sum of its proper divisors (10878744720).

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

4182000000 is an frugal number, since it uses more digits than its factorization.

4182000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4182000000 is about 64668.3848568990. The cubic root of 4182000000 is about 1611.1204473850.

Adding to 4182000000 its reverse (2814), we get a palindrome (4182002814).

The spelling of 4182000000 in words is "four billion, one hundred eighty-two million", and thus it is an aban number.