4116788144 has 40 divisors (see below), whose sum is σ = 9287753760. Its totient is φ = 1731045888.

The previous prime is 4116788141. The next prime is 4116788149. The reversal of 4116788144 is 4418876114.

4116788144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4116788095 and 4116788104.

It is not an unprimeable number, because it can be changed into a prime (4116788141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340829 + ... + 352700.

It is an arithmetic number, because the mean of its divisors is an integer number (232193844).

Almost surely, 2^4116788144 is an apocalyptic number.

It is an amenable number.

4116788144 is an abundant number, since it is smaller than the sum of its proper divisors (5170965616).

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

4116788144 is a wasteful number, since it uses less digits than its factorization.

4116788144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693597 (or 693591 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 4116788144 is about 64162.2018325431. The cubic root of 4116788144 is about 1602.7022232575.

The spelling of 4116788144 in words is "four billion, one hundred sixteen million, seven hundred eighty-eight thousand, one hundred forty-four".