4082805000 has 400 divisors, whose sum is σ = 15156070380. Its totient is φ = 1022976000.

The previous prime is 4082804959. The next prime is 4082805011. The reversal of 4082805000 is 5082804.

4082805000 is a `hidden beast` number, since 4 + 0 + 82 + 80 + 500 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 24860196 + 4057944804 = 4986^2 + 63702^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 6884704 + ... + 6885296.

Almost surely, 2^4082805000 is an apocalyptic number.

4082805000 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 4082805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578035190).

4082805000 is an abundant number, since it is smaller than the sum of its proper divisors (11073265380).

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

4082805000 is a wasteful number, since it uses less digits than its factorization.

4082805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4082805000 is about 63896.8309073306. The cubic root of 4082805000 is about 1598.2800528177.

Adding to 4082805000 its reverse (5082804), we get a palindrome (4087887804).

The spelling of 4082805000 in words is "four billion, eighty-two million, eight hundred five thousand".