4085409636 has 180 divisors, whose sum is σ = 13417184704. Its totient is φ = 1061074080.

The previous prime is 4085409611. The next prime is 4085409637. The reversal of 4085409636 is 6369045804.

4085409636 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 4 + 0 + 9 + 636 = 666.

4085409636 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4085409591 and 4085409600.

It is not an unprimeable number, because it can be changed into a prime (4085409637) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 266985 + ... + 281871.

Almost surely, 2^4085409636 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 4085409636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708592352).

4085409636 is an abundant number, since it is smaller than the sum of its proper divisors (9331775068).

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

4085409636 is a wasteful number, since it uses less digits than its factorization.

4085409636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4085409636 is about 63917.2092319432. The cubic root of 4085409636 is about 1598.6198561984.

The spelling of 4085409636 in words is "four billion, eighty-five million, four hundred nine thousand, six hundred thirty-six".