4085370240 has 256 divisors, whose sum is σ = 14967659520. Its totient is φ = 928456704.

The previous prime is 4085370227. The next prime is 4085370241. The reversal of 4085370240 is 420735804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085370241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646909 + ... + 2648451.

It is an arithmetic number, because the mean of its divisors is an integer number (58467420).

Almost surely, 2^4085370240 is an apocalyptic number.

4085370240 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 4085370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483829760).

4085370240 is an abundant number, since it is smaller than the sum of its proper divisors (10882289280).

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

4085370240 is a wasteful number, since it uses less digits than its factorization.

4085370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 4085370240 is about 63916.9010512869. The cubic root of 4085370240 is about 1598.6147176333.

The spelling of 4085370240 in words is "four billion, eighty-five million, three hundred seventy thousand, two hundred forty".