4001140013013 has 24 divisors (see below), whose sum is σ = 6789813357600. Its totient is φ = 2238400006560.

The previous prime is 4001140013011. The next prime is 4001140013147. The reversal of 4001140013013 is 3103100411004.

It is not a de Polignac number, because 4001140013013 - 2¹ = 4001140013011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001140013011) 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, 1554443163 + ... + 1554445736.

It is an arithmetic number, because the mean of its divisors is an integer number (282908889900).

Almost surely, 2^{4001140013013} is an apocalyptic number.

It is an amenable number.

4001140013013 is a deficient number, since it is larger than the sum of its proper divisors (2788673344587).

4001140013013 is a wasteful number, since it uses less digits than its factorization.

4001140013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108888929 (or 3108888926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4001140013013 its reverse (3103100411004), we get a palindrome (7104240424017).

The spelling of 4001140013013 in words is "four trillion, one billion, one hundred forty million, thirteen thousand, thirteen".