4116996114 has 256 divisors, whose sum is σ = 11705057280. Its totient is φ = 931599360.

The previous prime is 4116996089. The next prime is 4116996119.

4116996114 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4116996114² = 33899314005382201992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4116996119) 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 127 ways as a sum of consecutive naturals, for example, 7013329 + ... + 7013915.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^4116996114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4116996114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852528640).

4116996114 is an abundant number, since it is smaller than the sum of its proper divisors (7588061166).

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

4116996114 is a wasteful number, since it uses less digits than its factorization.

4116996114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its digits is 46656, while the sum is 42.

The square root of 4116996114 is about 64163.8224702986. The cubic root of 4116996114 is about 1602.7292109930.

The spelling of 4116996114 in words is "four billion, one hundred sixteen million, nine hundred ninety-six thousand, one hundred fourteen".