4080582528 has 128 divisors (see below), whose sum is σ = 11848515840. Its totient is φ = 1234022400.

The previous prime is 4080582491. The next prime is 4080582581. The reversal of 4080582528 is 8252850804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4080582528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3957373 + ... + 3958403.

It is an arithmetic number, because the mean of its divisors is an integer number (92566530).

Almost surely, 2^4080582528 is an apocalyptic number.

4080582528 is a gapful number since it is divisible by the number (48) 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 4080582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924257920).

4080582528 is an abundant number, since it is smaller than the sum of its proper divisors (7767933312).

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

4080582528 is a wasteful number, since it uses less digits than its factorization.

4080582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 4080582528 is about 63879.4374427327. The cubic root of 4080582528 is about 1597.9899926431.

The spelling of 4080582528 in words is "four billion, eighty million, five hundred eighty-two thousand, five hundred twenty-eight".