4182076080 has 960 divisors, whose sum is σ = 18718801920. Its totient is φ = 812851200.

The previous prime is 4182076013. The next prime is 4182076103. The reversal of 4182076080 is 806702814.

4182076080 is a `hidden beast` number, since 41 + 8 + 2 + 0 + 7 + 608 + 0 = 666.

4182076080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58902445 + ... + 58902515.

It is an arithmetic number, because the mean of its divisors is an integer number (19498752).

Almost surely, 2^4182076080 is an apocalyptic number.

4182076080 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 4182076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4182076080 is an abundant number, since it is smaller than the sum of its proper divisors (14536725840).

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

4182076080 is a wasteful number, since it uses less digits than its factorization.

4182076080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4182076080 is about 64668.9730860171. The cubic root of 4182076080 is about 1611.1302172958.

Adding to 4182076080 its reverse (806702814), we get a palindrome (4988778894).

The spelling of 4182076080 in words is "four billion, one hundred eighty-two million, seventy-six thousand, eighty".