240333314414321 has 2 divisors, whose sum is σ = 240333314414322. Its totient is φ = 240333314414320.

The previous prime is 240333314414191. The next prime is 240333314414471. The reversal of 240333314414321 is 123414413333042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179972286390625 + 60361028023696 = 13415375^2 + 7769236^2 .

It is a cyclic number.

It is not a de Polignac number, because 240333314414321 - 2²⁶ = 240333247305457 is a prime.

It is not a weakly prime, because it can be changed into another prime (240333314414521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120166657207160 + 120166657207161.

It is an arithmetic number, because the mean of its divisors is an integer number (120166657207161).

Almost surely, 2^{240333314414321} is an apocalyptic number.

It is an amenable number.

240333314414321 is a deficient number, since it is larger than the sum of its proper divisors (1).

240333314414321 is an equidigital number, since it uses as much as digits as its factorization.

240333314414321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 240333314414321 its reverse (123414413333042), we get a palindrome (363747727747363).

The spelling of 240333314414321 in words is "two hundred forty trillion, three hundred thirty-three billion, three hundred fourteen million, four hundred fourteen thousand, three hundred twenty-one".