4004414011011 has 24 divisors (see below), whose sum is σ = 5676643591920. Its totient is φ = 2507890154112.

The previous prime is 4004414011009. The next prime is 4004414011043. The reversal of 4004414011011 is 1101104144004.

4004414011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004414011011 - 2¹ = 4004414011009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4004414011051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16691616 + ... + 16929821.

It is an arithmetic number, because the mean of its divisors is an integer number (236526816330).

Almost surely, 2^{4004414011011} is an apocalyptic number.

4004414011011 is a deficient number, since it is larger than the sum of its proper divisors (1672229580909).

4004414011011 is a wasteful number, since it uses less digits than its factorization.

4004414011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33621543 (or 33621506 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 4004414011011 its reverse (1101104144004), we get a palindrome (5105518155015).

The spelling of 4004414011011 in words is "four trillion, four billion, four hundred fourteen million, eleven thousand, eleven".