312201440443441 has 2 divisors, whose sum is σ = 312201440443442. Its totient is φ = 312201440443440.

The previous prime is 312201440443429. The next prime is 312201440443499. The reversal of 312201440443441 is 144344044102213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311890434576400 + 311005867041 = 17660420^2 + 557679^2 .

It is a cyclic number.

It is not a de Polignac number, because 312201440443441 - 2¹³ = 312201440435249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312201440443441.

It is not a weakly prime, because it can be changed into another prime (312201440443241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156100720221720 + 156100720221721.

It is an arithmetic number, because the mean of its divisors is an integer number (156100720221721).

Almost surely, 2^{312201440443441} is an apocalyptic number.

It is an amenable number.

312201440443441 is a deficient number, since it is larger than the sum of its proper divisors (1).

312201440443441 is an equidigital number, since it uses as much as digits as its factorization.

312201440443441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 312201440443441 its reverse (144344044102213), we get a palindrome (456545484545654).

The spelling of 312201440443441 in words is "three hundred twelve trillion, two hundred one billion, four hundred forty million, four hundred forty-three thousand, four hundred forty-one".