214400441440321 has 2 divisors, whose sum is σ = 214400441440322. Its totient is φ = 214400441440320.

The previous prime is 214400441440259. The next prime is 214400441440327. The reversal of 214400441440321 is 123044144004412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195886224516096 + 18514216924225 = 13995936^2 + 4302815^2 .

It is a cyclic number.

It is not a de Polignac number, because 214400441440321 - 2¹³ = 214400441432129 is a prime.

It is not a weakly prime, because it can be changed into another prime (214400441440327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107200220720160 + 107200220720161.

It is an arithmetic number, because the mean of its divisors is an integer number (107200220720161).

Almost surely, 2^{214400441440321} is an apocalyptic number.

It is an amenable number.

214400441440321 is a deficient number, since it is larger than the sum of its proper divisors (1).

214400441440321 is an equidigital number, since it uses as much as digits as its factorization.

214400441440321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 214400441440321 its reverse (123044144004412), we get a palindrome (337444585444733).

The spelling of 214400441440321 in words is "two hundred fourteen trillion, four hundred billion, four hundred forty-one million, four hundred forty thousand, three hundred twenty-one".