434114422209 has 96 divisors (see below), whose sum is σ = 701904752640. Its totient is φ = 257012300160.

The previous prime is 434114422187. The next prime is 434114422229. The reversal of 434114422209 is 902224411434.

434114422209 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 1 + 442 + 2 + 209 = 666.

It is not a de Polignac number, because 434114422209 - 2¹⁷ = 434114291137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434114422229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937611912 + ... + 937612374.

It is an arithmetic number, because the mean of its divisors is an integer number (7311507840).

Almost surely, 2^434114422209 is an apocalyptic number.

It is an amenable number.

434114422209 is a deficient number, since it is larger than the sum of its proper divisors (267790330431).

434114422209 is a wasteful number, since it uses less digits than its factorization.

434114422209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 434114422209 in words is "four hundred thirty-four billion, one hundred fourteen million, four hundred twenty-two thousand, two hundred nine".