4085613216 has 96 divisors (see below), whose sum is σ = 12034612800. Its totient is φ = 1348358400.

The previous prime is 4085613199. The next prime is 4085613251. The reversal of 4085613216 is 6123165804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63855 + ... + 110673.

It is an arithmetic number, because the mean of its divisors is an integer number (125360550).

Almost surely, 2^4085613216 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 4085613216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017306400).

4085613216 is an abundant number, since it is smaller than the sum of its proper divisors (7948999584).

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

4085613216 is a wasteful number, since it uses less digits than its factorization.

4085613216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46939 (or 46925 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4085613216 is about 63918.8017409588. The cubic root of 4085613216 is about 1598.6464093598.

The spelling of 4085613216 in words is "four billion, eighty-five million, six hundred thirteen thousand, two hundred sixteen".