4182538080 has 288 divisors, whose sum is σ = 15526909440. Its totient is φ = 943488000.

The previous prime is 4182538057. The next prime is 4182538093. The reversal of 4182538080 is 808352814.

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 47 ways as a sum of consecutive naturals, for example, 1856955 + ... + 1859205.

It is an arithmetic number, because the mean of its divisors is an integer number (53912880).

Almost surely, 2^4182538080 is an apocalyptic number.

4182538080 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 4182538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763454720).

4182538080 is an abundant number, since it is smaller than the sum of its proper divisors (11344371360).

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

4182538080 is a wasteful number, since it uses less digits than its factorization.

4182538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 4182538080 is about 64672.5450249176. The cubic root of 4182538080 is about 1611.1895430739.

The spelling of 4182538080 in words is "four billion, one hundred eighty-two million, five hundred thirty-eight thousand, eighty".