434047217013 has 24 divisors (see below), whose sum is σ = 654928260480. Its totient is φ = 276482432160.

The previous prime is 434047216909. The next prime is 434047217017. The reversal of 434047217013 is 310712740434.

434047217013 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 472 + 170 + 13 = 666.

It is not a de Polignac number, because 434047217013 - 2²¹ = 434045119861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434047217017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950598 + ... + 1331063.

It is an arithmetic number, because the mean of its divisors is an integer number (27288677520).

Almost surely, 2^434047217013 is an apocalyptic number.

It is an amenable number.

434047217013 is a deficient number, since it is larger than the sum of its proper divisors (220881043467).

434047217013 is a wasteful number, since it uses less digits than its factorization.

434047217013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282609 (or 2282606 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 434047217013 its reverse (310712740434), we get a palindrome (744759957447).

The spelling of 434047217013 in words is "four hundred thirty-four billion, forty-seven million, two hundred seventeen thousand, thirteen".