242014400414401 has 2 divisors, whose sum is σ = 242014400414402. Its totient is φ = 242014400414400.

The previous prime is 242014400414383. The next prime is 242014400414459. The reversal of 242014400414401 is 104414004410242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179338994846001 + 62675405568400 = 13391751^2 + 7916780^2 .

It is a cyclic number.

It is not a de Polignac number, because 242014400414401 - 2⁷ = 242014400414273 is a prime.

It is not a weakly prime, because it can be changed into another prime (242014400414491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121007200207200 + 121007200207201.

It is an arithmetic number, because the mean of its divisors is an integer number (121007200207201).

Almost surely, 2^{242014400414401} is an apocalyptic number.

It is an amenable number.

242014400414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

242014400414401 is an equidigital number, since it uses as much as digits as its factorization.

242014400414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 242014400414401 its reverse (104414004410242), we get a palindrome (346428404824643).

The spelling of 242014400414401 in words is "two hundred forty-two trillion, fourteen billion, four hundred million, four hundred fourteen thousand, four hundred one".