4180823120 has 20 divisors (see below), whose sum is σ = 9720413940. Its totient is φ = 1672329216.

The previous prime is 4180823111. The next prime is 4180823147. The reversal of 4180823120 is 213280814.

It can be written as a sum of positive squares in 2 ways, for example, as 1839037456 + 2341785664 = 42884^2 + 48392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×4180823120³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26130065 + ... + 26130224.

It is an arithmetic number, because the mean of its divisors is an integer number (486020697).

Almost surely, 2^4180823120 is an apocalyptic number.

4180823120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4180823120 is an abundant number, since it is smaller than the sum of its proper divisors (5539590820).

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

4180823120 is a wasteful number, since it uses less digits than its factorization.

4180823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52260302 (or 52260296 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4180823120 is about 64659.2848707747. The cubic root of 4180823120 is about 1610.9693017351.

The spelling of 4180823120 in words is "four billion, one hundred eighty million, eight hundred twenty-three thousand, one hundred twenty".