311440104101441 has 16 divisors (see below), whose sum is σ = 371409242066688. Its totient is φ = 255340540382400.

The previous prime is 311440104101437. The next prime is 311440104101473. The reversal of 311440104101441 is 144101401044113.

It is a cyclic number.

It is not a de Polignac number, because 311440104101441 - 2² = 311440104101437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311440104101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18928211 + ... + 31323431.

It is an arithmetic number, because the mean of its divisors is an integer number (23213077629168).

Almost surely, 2^{311440104101441} is an apocalyptic number.

It is an amenable number.

311440104101441 is a deficient number, since it is larger than the sum of its proper divisors (59969137965247).

311440104101441 is a wasteful number, since it uses less digits than its factorization.

311440104101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551312.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 311440104101441 its reverse (144101401044113), we get a palindrome (455541505145554).

The spelling of 311440104101441 in words is "three hundred eleven trillion, four hundred forty billion, one hundred four million, one hundred one thousand, four hundred forty-one".