4085364560 has 80 divisors (see below), whose sum is σ = 9854436240. Its totient is φ = 1573232640.

The previous prime is 4085364551. The next prime is 4085364607. The reversal of 4085364560 is 654635804.

4085364560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1132096 + 4084232464 = 1064^2 + 63908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863000 + ... + 867720.

It is an arithmetic number, because the mean of its divisors is an integer number (123180453).

Almost surely, 2^4085364560 is an apocalyptic number.

4085364560 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 4085364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927218120).

4085364560 is an abundant number, since it is smaller than the sum of its proper divisors (5769071680).

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

4085364560 is a wasteful number, since it uses less digits than its factorization.

4085364560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 4085364560 is about 63916.8566185791. The cubic root of 4085364560 is about 1598.6139767673.

The spelling of 4085364560 in words is "four billion, eighty-five million, three hundred sixty-four thousand, five hundred sixty".