4082193024 has 256 divisors, whose sum is σ = 13435994880. Its totient is φ = 1069350912.

The previous prime is 4082193007. The next prime is 4082193047. The reversal of 4082193024 is 4203912804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6883672 + ... + 6884264.

It is an arithmetic number, because the mean of its divisors is an integer number (52484355).

Almost surely, 2^4082193024 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 4082193024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717997440).

4082193024 is an abundant number, since it is smaller than the sum of its proper divisors (9353801856).

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

4082193024 is a wasteful number, since it uses less digits than its factorization.

4082193024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4082193024 is about 63892.0419457697. The cubic root of 4082193024 is about 1598.2001928597.

The spelling of 4082193024 in words is "four billion, eighty-two million, one hundred ninety-three thousand, twenty-four".