4082319360 has 540 divisors, whose sum is σ = 16607757348. Its totient is φ = 924844032.

The previous prime is 4082319349. The next prime is 4082319379. The reversal of 4082319360 is 639132804.

4082319360 is a `hidden beast` number, since 408 + 2 + 3 + 193 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 3497066496 = 24192^2 + 59136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36126664 + ... + 36126776.

Almost surely, 2^4082319360 is an apocalyptic number.

4082319360 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 4082319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303878674).

4082319360 is an abundant number, since it is smaller than the sum of its proper divisors (12525437988).

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

4082319360 is a wasteful number, since it uses less digits than its factorization.

4082319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4082319360 is about 63893.0306058493. The cubic root of 4082319360 is about 1598.2166797607.

The spelling of 4082319360 in words is "four billion, eighty-two million, three hundred nineteen thousand, three hundred sixty".