434314010241 has 20 divisors (see below), whose sum is σ = 666324935892. Its totient is φ = 281717193888.

The previous prime is 434314010213. The next prime is 434314010243. The reversal of 434314010241 is 142010413434.

It can be written as a sum of positive squares in 2 ways, for example, as 421947680625 + 12366329616 = 649575^2 + 111204^2 .

It is not a de Polignac number, because 434314010241 - 2¹⁴ = 434313993857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (434314010243) 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 19 ways as a sum of consecutive naturals, for example, 72455130 + ... + 72461123.

Almost surely, 2^434314010241 is an apocalyptic number.

It is an amenable number.

434314010241 is a deficient number, since it is larger than the sum of its proper divisors (232010925651).

434314010241 is a wasteful number, since it uses less digits than its factorization.

434314010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144916302 (or 144916293 counting only the distinct ones).

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

Adding to 434314010241 its reverse (142010413434), we get a palindrome (576324423675).

The spelling of 434314010241 in words is "four hundred thirty-four billion, three hundred fourteen million, ten thousand, two hundred forty-one".