4004825382 has 64 divisors (see below), whose sum is σ = 9209376000. Its totient is φ = 1289179584.

The previous prime is 4004825299. The next prime is 4004825443. The reversal of 4004825382 is 2835284004.

4004825382 is a `hidden beast` number, since 40 + 0 + 4 + 82 + 538 + 2 = 666.

It is a super-2 number, since 2×4004825382² = 32077252680622891848, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 196969 + ... + 216347.

It is an arithmetic number, because the mean of its divisors is an integer number (143896500).

Almost surely, 2^4004825382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004825382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604688000).

4004825382 is an abundant number, since it is smaller than the sum of its proper divisors (5204550618).

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

4004825382 is a wasteful number, since it uses less digits than its factorization.

4004825382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4004825382 is about 63283.6896996375. The cubic root of 4004825382 is about 1588.0391135013.

The spelling of 4004825382 in words is "four billion, four million, eight hundred twenty-five thousand, three hundred eighty-two".