311440041200001 has 16 divisors (see below), whose sum is σ = 474897921794048. Its totient is φ = 177844754984400.

The previous prime is 311440041199907. The next prime is 311440041200003. The reversal of 311440041200001 is 100002140044113.

It is not a de Polignac number, because 311440041200001 - 2³³ = 311431451265409 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311440041200003) 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 15 ways as a sum of consecutive naturals, for example, 5040920215 + ... + 5040981996.

It is an arithmetic number, because the mean of its divisors is an integer number (29681120112128).

Almost surely, 2^{311440041200001} is an apocalyptic number.

It is an amenable number.

311440041200001 is a deficient number, since it is larger than the sum of its proper divisors (163457880594047).

311440041200001 is a wasteful number, since it uses less digits than its factorization.

311440041200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081903692.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 311440041200001 its reverse (100002140044113), we get a palindrome (411442181244114).

The spelling of 311440041200001 in words is "three hundred eleven trillion, four hundred forty billion, forty-one million, two hundred thousand, one".