4086000000 has 336 divisors, whose sum is σ = 14761920420. Its totient is φ = 1084800000.

The previous prime is 4085999999. The next prime is 4086000007. The reversal of 4086000000 is 6804.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17999887 + ... + 18000113.

Almost surely, 2^4086000000 is an apocalyptic number.

4086000000 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 4086000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380960210).

4086000000 is an abundant number, since it is smaller than the sum of its proper divisors (10675920420).

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

4086000000 is an frugal number, since it uses more digits than its factorization.

4086000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4086000000 is about 63921.8272579875. The cubic root of 4086000000 is about 1598.6968555890.

Adding to 4086000000 its reverse (6804), we get a palindrome (4086006804).

The spelling of 4086000000 in words is "four billion, eighty-six million", and thus it is an aban number.