34414131441 has 16 divisors (see below), whose sum is σ = 48591434304. Its totient is φ = 21590168064.

The previous prime is 34414131421. The next prime is 34414131497. The reversal of 34414131441 is 14413141443.

34414131441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34414131441 - 2⁹ = 34414130929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34414131399 and 34414131408.

It is not an unprimeable number, because it can be changed into a prime (34414131421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355506 + ... + 441828.

It is an arithmetic number, because the mean of its divisors is an integer number (3036964644).

Almost surely, 2^34414131441 is an apocalyptic number.

It is an amenable number.

34414131441 is a deficient number, since it is larger than the sum of its proper divisors (14177302863).

34414131441 is a wasteful number, since it uses less digits than its factorization.

34414131441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94160.

The product of its digits is 9216, while the sum is 30.

Adding to 34414131441 its reverse (14413141443), we get a palindrome (48827272884).

The spelling of 34414131441 in words is "thirty-four billion, four hundred fourteen million, one hundred thirty-one thousand, four hundred forty-one".