4114114011 has 40 divisors (see below), whose sum is σ = 7031455200. Its totient is φ = 2348341632.

The previous prime is 4114114009. The next prime is 4114114013. The reversal of 4114114011 is 1104114114.

It is an interprime number because it is at equal distance from previous prime (4114114009) and next prime (4114114013).

It is not a de Polignac number, because 4114114011 - 2¹ = 4114114009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4114114013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 591325 + ... + 598241.

It is an arithmetic number, because the mean of its divisors is an integer number (175786380).

Almost surely, 2^4114114011 is an apocalyptic number.

4114114011 is a deficient number, since it is larger than the sum of its proper divisors (2917341189).

4114114011 is a wasteful number, since it uses less digits than its factorization.

4114114011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 4114114011 is about 64141.3595973768. The cubic root of 4114114011 is about 1602.3551268424.

Adding to 4114114011 its reverse (1104114114), we get a palindrome (5218228125).

The spelling of 4114114011 in words is "four billion, one hundred fourteen million, one hundred fourteen thousand, eleven".