4111102011114 has 48 divisors (see below), whose sum is σ = 10179997356672. Its totient is φ = 1174586069664.

The previous prime is 4111102011113. The next prime is 4111102011143.

It is a happy number.

4111102011114 is a `hidden beast` number, since 411 + 110 + 20 + 11 + 114 = 666.

4111102011114 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4111102011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13998547 + ... + 14289209.

It is an arithmetic number, because the mean of its divisors is an integer number (212083278264).

Almost surely, 2^{4111102011114} is an apocalyptic number.

4111102011114 is an abundant number, since it is smaller than the sum of its proper divisors (6068895345558).

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

4111102011114 is a wasteful number, since it uses less digits than its factorization.

4111102011114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402931 (or 402928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 4111102011114 in words is "four trillion, one hundred eleven billion, one hundred two million, eleven thousand, one hundred fourteen".