4085590464 has 168 divisors, whose sum is σ = 12429256320. Its totient is φ = 1280328192.

The previous prime is 4085590451. The next prime is 4085590477. The reversal of 4085590464 is 4640955804.

It is an interprime number because it is at equal distance from previous prime (4085590451) and next prime (4085590477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 779019 + ... + 784245.

Almost surely, 2^4085590464 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 4085590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214628160).

4085590464 is an abundant number, since it is smaller than the sum of its proper divisors (8343665856).

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

4085590464 is a wasteful number, since it uses less digits than its factorization.

4085590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4085590464 is about 63918.6237649091. The cubic root of 4085590464 is about 1598.6434418354.

The spelling of 4085590464 in words is "four billion, eighty-five million, five hundred ninety thousand, four hundred sixty-four".