4109556880 has 360 divisors, whose sum is σ = 12120927336. Its totient is φ = 1286799360.

The previous prime is 4109556851. The next prime is 4109556883. The reversal of 4109556880 is 886559014.

It can be written as a sum of positive squares in 12 ways, for example, as 1663660944 + 2445895936 = 40788^2 + 49456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4109556880.

It is not an unprimeable number, because it can be changed into a prime (4109556883) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 36367704 + ... + 36367816.

Almost surely, 2^4109556880 is an apocalyptic number.

4109556880 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 4109556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060463668).

4109556880 is an abundant number, since it is smaller than the sum of its proper divisors (8011370456).

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

4109556880 is a wasteful number, since it uses less digits than its factorization.

4109556880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 4109556880 is about 64105.8256323090. The cubic root of 4109556880 is about 1601.7632748248.

The spelling of 4109556880 in words is "four billion, one hundred nine million, five hundred fifty-six thousand, eight hundred eighty".