4085640384 has 112 divisors (see below), whose sum is σ = 12606528000. Its totient is φ = 1167307008.

The previous prime is 4085640373. The next prime is 4085640407. The reversal of 4085640384 is 4830465804.

4085640384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 34837 + ... + 96875.

Almost surely, 2^4085640384 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 4085640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303264000).

4085640384 is an abundant number, since it is smaller than the sum of its proper divisors (8520887616).

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

4085640384 is an equidigital number, since it uses as much as digits as its factorization.

4085640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62075 (or 62051 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4085640384 is about 63919.0142602340. The cubic root of 4085640384 is about 1598.6499528450.

The spelling of 4085640384 in words is "four billion, eighty-five million, six hundred forty thousand, three hundred eighty-four".