314210431441 has 2 divisors, whose sum is σ = 314210431442. Its totient is φ = 314210431440.

The previous prime is 314210431433. The next prime is 314210431477. The reversal of 314210431441 is 144134012413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257520726225 + 56689705216 = 507465^2 + 238096^2 .

It is a cyclic number.

It is not a de Polignac number, because 314210431441 - 2³ = 314210431433 is a prime.

It is a super-2 number, since 2×314210431441² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314210431421) 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 as a sum of consecutive naturals, namely, 157105215720 + 157105215721.

It is an arithmetic number, because the mean of its divisors is an integer number (157105215721).

Almost surely, 2^314210431441 is an apocalyptic number.

It is an amenable number.

314210431441 is a deficient number, since it is larger than the sum of its proper divisors (1).

314210431441 is an equidigital number, since it uses as much as digits as its factorization.

314210431441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 314210431441 its reverse (144134012413), we get a palindrome (458344443854).

The spelling of 314210431441 in words is "three hundred fourteen billion, two hundred ten million, four hundred thirty-one thousand, four hundred forty-one".