434430745175 has 72 divisors (see below), whose sum is σ = 634819940352. Its totient is φ = 294028056000.

The previous prime is 434430745157. The next prime is 434430745211. The reversal of 434430745175 is 571547034434.

It is not a de Polignac number, because 434430745175 - 2²⁴ = 434413967959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 39234890 + ... + 39245960.

It is an arithmetic number, because the mean of its divisors is an integer number (8816943616).

Almost surely, 2^434430745175 is an apocalyptic number.

434430745175 is a deficient number, since it is larger than the sum of its proper divisors (200389195177).

434430745175 is a wasteful number, since it uses less digits than its factorization.

434430745175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 47.

The spelling of 434430745175 in words is "four hundred thirty-four billion, four hundred thirty million, seven hundred forty-five thousand, one hundred seventy-five".