4085832240 has 640 divisors, whose sum is σ = 17370316800. Its totient is φ = 862202880.

The previous prime is 4085832211. The next prime is 4085832251. The reversal of 4085832240 is 422385804.

4085832240 is a `hidden beast` number, since 408 + 5 + 8 + 3 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4085832195 and 4085832204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10780371 + ... + 10780749.

It is an arithmetic number, because the mean of its divisors is an integer number (27141120).

Almost surely, 2^4085832240 is an apocalyptic number.

4085832240 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 4085832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685158400).

4085832240 is an abundant number, since it is smaller than the sum of its proper divisors (13284484560).

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

4085832240 is a wasteful number, since it uses less digits than its factorization.

4085832240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4085832240 is about 63920.5150166987. The cubic root of 4085832240 is about 1598.6749759141.

The spelling of 4085832240 in words is "four billion, eighty-five million, eight hundred thirty-two thousand, two hundred forty".