434331140114409 has 16 divisors (see below), whose sum is σ = 580218202583040. Its totient is φ = 288999179174160.

The previous prime is 434331140114393. The next prime is 434331140114411. The reversal of 434331140114409 is 904411041133434.

It is a happy number.

It is not a de Polignac number, because 434331140114409 - 2⁴ = 434331140114393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434331140154409) 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 15 ways as a sum of consecutive naturals, for example, 6861472 + ... + 30261230.

It is an arithmetic number, because the mean of its divisors is an integer number (36263637661440).

Almost surely, 2^{434331140114409} is an apocalyptic number.

It is an amenable number.

434331140114409 is a deficient number, since it is larger than the sum of its proper divisors (145887062468631).

434331140114409 is a wasteful number, since it uses less digits than its factorization.

434331140114409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23411620.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 434331140114409 in words is "four hundred thirty-four trillion, three hundred thirty-one billion, one hundred forty million, one hundred fourteen thousand, four hundred nine".