414302241412241 has 256 divisors, whose sum is σ = 592208594288640. Its totient is φ = 280358572032000.

The previous prime is 414302241412223. The next prime is 414302241412253. The reversal of 414302241412241 is 142214142203414.

It is a happy number.

It is not a de Polignac number, because 414302241412241 - 2³⁰ = 414301167670417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414302241412261) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21496500581 + ... + 21496519853.

It is an arithmetic number, because the mean of its divisors is an integer number (2313314821440).

Almost surely, 2^{414302241412241} is an apocalyptic number.

It is an amenable number.

414302241412241 is a deficient number, since it is larger than the sum of its proper divisors (177906352876399).

414302241412241 is a wasteful number, since it uses less digits than its factorization.

414302241412241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19696.

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 414302241412241 its reverse (142214142203414), we get a palindrome (556516383615655).

The spelling of 414302241412241 in words is "four hundred fourteen trillion, three hundred two billion, two hundred forty-one million, four hundred twelve thousand, two hundred forty-one".