434430101241 has 48 divisors (see below), whose sum is σ = 633772339200. Its totient is φ = 286749828864.

The previous prime is 434430101213. The next prime is 434430101257. The reversal of 434430101241 is 142101034434.

434430101241 is a `hidden beast` number, since 4 + 344 + 301 + 0 + 12 + 4 + 1 = 666.

It is not a de Polignac number, because 434430101241 - 2¹¹ = 434430099193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434430101041) 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 47 ways as a sum of consecutive naturals, for example, 339663240 + ... + 339664518.

It is an arithmetic number, because the mean of its divisors is an integer number (13203590400).

Almost surely, 2^434430101241 is an apocalyptic number.

It is an amenable number.

434430101241 is a deficient number, since it is larger than the sum of its proper divisors (199342237959).

434430101241 is a wasteful number, since it uses less digits than its factorization.

434430101241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434430101241 its reverse (142101034434), we get a palindrome (576531135675).

The spelling of 434430101241 in words is "four hundred thirty-four billion, four hundred thirty million, one hundred one thousand, two hundred forty-one".