4085811072 has 320 divisors, whose sum is σ = 14632675200. Its totient is φ = 1105560576.

The previous prime is 4085811061. The next prime is 4085811077. The reversal of 4085811072 is 2701185804.

4085811072 is a `hidden beast` number, since 4 + 0 + 8 + 581 + 1 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085811077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1377463 + ... + 1380425.

It is an arithmetic number, because the mean of its divisors is an integer number (45727110).

Almost surely, 2^4085811072 is an apocalyptic number.

4085811072 is a gapful number since it is divisible by the number (42) 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 4085811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316337600).

4085811072 is an abundant number, since it is smaller than the sum of its proper divisors (10546864128).

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

4085811072 is a wasteful number, since it uses less digits than its factorization.

4085811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4085811072 is about 63920.3494358409. The cubic root of 4085811072 is about 1598.6722150885.

Adding to 4085811072 its reverse (2701185804), we get a palindrome (6786996876).

The spelling of 4085811072 in words is "four billion, eighty-five million, eight hundred eleven thousand, seventy-two".