214401242241 has 12 divisors (see below), whose sum is σ = 309695053668. Its totient is φ = 142932144384.

The previous prime is 214401242219. The next prime is 214401242257. The reversal of 214401242241 is 142242104412.

214401242241 is a `hidden beast` number, since 2 + 14 + 401 + 2 + 4 + 2 + 241 = 666.

214401242241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 89159571216 + 125241671025 = 298596^2 + 353895^2 .

It is a de Polignac number, because none of the positive numbers 2^k-214401242241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214401242201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796281 + ... + 1030953.

It is an arithmetic number, because the mean of its divisors is an integer number (25807921139).

Almost surely, 2^214401242241 is an apocalyptic number.

It is an amenable number.

214401242241 is a deficient number, since it is larger than the sum of its proper divisors (95293811427).

214401242241 is a wasteful number, since it uses less digits than its factorization.

214401242241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336192 (or 336189 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 214401242241 its reverse (142242104412), we get a palindrome (356643346653).

The spelling of 214401242241 in words is "two hundred fourteen billion, four hundred one million, two hundred forty-two thousand, two hundred forty-one".