4001111109 has 24 divisors (see below), whose sum is σ = 6123237120. Its totient is φ = 2508905088.

The previous prime is 4001111087. The next prime is 4001111113. The reversal of 4001111109 is 9011111004.

It is not a de Polignac number, because 4001111109 - 2¹⁷ = 4000980037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4001111091 and 4001111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001121109) 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 23 ways as a sum of consecutive naturals, for example, 261694 + ... + 276560.

It is an arithmetic number, because the mean of its divisors is an integer number (255134880).

Almost surely, 2^4001111109 is an apocalyptic number.

It is an amenable number.

4001111109 is a deficient number, since it is larger than the sum of its proper divisors (2122126011).

4001111109 is a wasteful number, since it uses less digits than its factorization.

4001111109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16646 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 4001111109 is about 63254.3366813691. The cubic root of 4001111109 is about 1587.5480196606.

The spelling of 4001111109 in words is "four billion, one million, one hundred eleven thousand, one hundred nine".