311440042010401 has 2 divisors, whose sum is σ = 311440042010402. Its totient is φ = 311440042010400.

The previous prime is 311440042010399. The next prime is 311440042010413. The reversal of 311440042010401 is 104010240044113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259589615886225 + 51850426124176 = 16111785^2 + 7200724^2 .

It is a cyclic number.

It is not a de Polignac number, because 311440042010401 - 2¹ = 311440042010399 is a prime.

Together with 311440042010399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (311440042010701) 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 as a sum of consecutive naturals, namely, 155720021005200 + 155720021005201.

It is an arithmetic number, because the mean of its divisors is an integer number (155720021005201).

Almost surely, 2^{311440042010401} is an apocalyptic number.

It is an amenable number.

311440042010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

311440042010401 is an equidigital number, since it uses as much as digits as its factorization.

311440042010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 311440042010401 its reverse (104010240044113), we get a palindrome (415450282054514).

The spelling of 311440042010401 in words is "three hundred eleven trillion, four hundred forty billion, forty-two million, ten thousand, four hundred one".