414343300241 has 24 divisors (see below), whose sum is σ = 461239165800. Its totient is φ = 370000604160.

The previous prime is 414343300207. The next prime is 414343300247. The reversal of 414343300241 is 142003343414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3200730625 + 411142569616 = 56575^2 + 641204^2 .

It is a de Polignac number, because none of the positive numbers 2^k-414343300241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414343300247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56377235 + ... + 56384583.

It is an arithmetic number, because the mean of its divisors is an integer number (19218298575).

Almost surely, 2^414343300241 is an apocalyptic number.

It is an amenable number.

414343300241 is a deficient number, since it is larger than the sum of its proper divisors (46895865559).

414343300241 is a wasteful number, since it uses less digits than its factorization.

414343300241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11906 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 414343300241 its reverse (142003343414), we get a palindrome (556346643655).

The spelling of 414343300241 in words is "four hundred fourteen billion, three hundred forty-three million, three hundred thousand, two hundred forty-one".