4001403211113 has 64 divisors (see below), whose sum is σ = 6678816528384. Its totient is φ = 2070188928000.

The previous prime is 4001403211097. The next prime is 4001403211147. The reversal of 4001403211113 is 3111123041004.

It is not a de Polignac number, because 4001403211113 - 2⁴ = 4001403211097 is a prime.

It is a super-2 number, since 2×4001403211113² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4001403211113.

It is not an unprimeable number, because it can be changed into a prime (4001403211153) 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 63 ways as a sum of consecutive naturals, for example, 57078103 + ... + 57148163.

It is an arithmetic number, because the mean of its divisors is an integer number (104356508256).

Almost surely, 2^{4001403211113} is an apocalyptic number.

It is an amenable number.

4001403211113 is a deficient number, since it is larger than the sum of its proper divisors (2677413317271).

4001403211113 is a wasteful number, since it uses less digits than its factorization.

4001403211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71086.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 4001403211113 its reverse (3111123041004), we get a palindrome (7112526252117).

The spelling of 4001403211113 in words is "four trillion, one billion, four hundred three million, two hundred eleven thousand, one hundred thirteen".