4085346365984 has 72 divisors (see below), whose sum is σ = 8710287702480. Its totient is φ = 1885333202688.

The previous prime is 4085346365983. The next prime is 4085346365993. The reversal of 4085346365984 is 4895636435804.

It is a happy number.

4085346365984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4085346365984.

It is not an unprimeable number, because it can be changed into a prime (4085346365983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54794459 + ... + 54868965.

It is an arithmetic number, because the mean of its divisors is an integer number (120976218090).

Almost surely, 2^{4085346365984} 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 4085346365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355143851240).

4085346365984 is an abundant number, since it is smaller than the sum of its proper divisors (4624941336496).

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

4085346365984 is a wasteful number, since it uses less digits than its factorization.

4085346365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84682 (or 84661 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 65.

The spelling of 4085346365984 in words is "four trillion, eighty-five billion, three hundred forty-six million, three hundred sixty-five thousand, nine hundred eighty-four".