4082285760 has 224 divisors, whose sum is σ = 14852001792. Its totient is φ = 930631680.

The previous prime is 4082285749. The next prime is 4082285761. The reversal of 4082285760 is 675822804.

It is a happy number.

4082285760 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 (224).

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

It is not an unprimeable number, because it can be changed into a prime (4082285761) 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, 4118865 + ... + 4119855.

Almost surely, 2^4082285760 is an apocalyptic number.

4082285760 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 4082285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426000896).

4082285760 is an abundant number, since it is smaller than the sum of its proper divisors (10769716032).

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

4082285760 is a wasteful number, since it uses less digits than its factorization.

4082285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4082285760 is about 63892.7676658321. The cubic root of 4082285760 is about 1598.2122949798.

The spelling of 4082285760 in words is "four billion, eighty-two million, two hundred eighty-five thousand, seven hundred sixty".