4138911616 has 96 divisors (see below), whose sum is σ = 9773450280. Its totient is φ = 1740211200.

The previous prime is 4138911611. The next prime is 4138911629. The reversal of 4138911616 is 6161198314.

4138911616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138911611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326191 + ... + 338641.

Almost surely, 2^4138911616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886725140).

4138911616 is an abundant number, since it is smaller than the sum of its proper divisors (5634538664).

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

4138911616 is a wasteful number, since it uses less digits than its factorization.

4138911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12532 (or 12513 counting only the distinct ones).

The product of its digits is 31104, while the sum is 40.

The square root of 4138911616 is about 64334.3735183611. The cubic root of 4138911616 is about 1605.5680505308.

The spelling of 4138911616 in words is "four billion, one hundred thirty-eight million, nine hundred eleven thousand, six hundred sixteen".