4128145616 has 80 divisors (see below), whose sum is σ = 9673095168. Its totient is φ = 1668374400.

The previous prime is 4128145613. The next prime is 4128145631. The reversal of 4128145616 is 6165418214.

It is a self number, because there is not a number n which added to its sum of digits gives 4128145616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128145613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171611 + ... + 194181.

Almost surely, 2^4128145616 is an apocalyptic number.

4128145616 is a gapful number since it is divisible by the number (46) 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 4128145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836547584).

4128145616 is an abundant number, since it is smaller than the sum of its proper divisors (5544949552).

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

4128145616 is a wasteful number, since it uses less digits than its factorization.

4128145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680 (or 22674 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 4128145616 is about 64250.6468138648. The cubic root of 4128145616 is about 1604.1747249046.

The spelling of 4128145616 in words is "four billion, one hundred twenty-eight million, one hundred forty-five thousand, six hundred sixteen".