34431323414041 has 8 divisors (see below), whose sum is σ = 34453667286720. Its totient is φ = 34408980874032.

The previous prime is 34431323413969. The next prime is 34431323414053. The reversal of 34431323414041 is 14041432313443.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34431323414041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34431323414441) 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 7 ways as a sum of consecutive naturals, for example, 54249651 + ... + 54880663.

It is an arithmetic number, because the mean of its divisors is an integer number (4306708410840).

Almost surely, 2^{34431323414041} is an apocalyptic number.

It is an amenable number.

34431323414041 is a deficient number, since it is larger than the sum of its proper divisors (22343872679).

34431323414041 is a wasteful number, since it uses less digits than its factorization.

34431323414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666335.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 34431323414041 its reverse (14041432313443), we get a palindrome (48472755727484).

The spelling of 34431323414041 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred twenty-three million, four hundred fourteen thousand, forty-one".