4067641116 has 144 divisors (see below), whose sum is σ = 13081286400. Its totient is φ = 1056494880.

The previous prime is 4067641079. The next prime is 4067641117. The reversal of 4067641116 is 6111467604.

It is a happy number.

4067641116 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 641 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067641117) 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 47 ways as a sum of consecutive naturals, for example, 120855 + ... + 150801.

Almost surely, 2^4067641116 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 4067641116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540643200).

4067641116 is an abundant number, since it is smaller than the sum of its proper divisors (9013645284).

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

4067641116 is a wasteful number, since it uses less digits than its factorization.

4067641116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29989 (or 29970 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4067641116 is about 63778.0614004534. The cubic root of 4067641116 is about 1596.2988821598.

The spelling of 4067641116 in words is "four billion, sixty-seven million, six hundred forty-one thousand, one hundred sixteen".