4334414344313 has 32 divisors (see below), whose sum is σ = 4517420544000. Its totient is φ = 4153798978560.

The previous prime is 4334414344303. The next prime is 4334414344369. The reversal of 4334414344313 is 3134434144334.

It is a cyclic number.

It is not a de Polignac number, because 4334414344313 - 2²² = 4334410150009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4334414344303) 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 31 ways as a sum of consecutive naturals, for example, 4171716848 + ... + 4171717886.

It is an arithmetic number, because the mean of its divisors is an integer number (141169392000).

Almost surely, 2^{4334414344313} is an apocalyptic number.

It is an amenable number.

4334414344313 is a deficient number, since it is larger than the sum of its proper divisors (183006199687).

4334414344313 is a wasteful number, since it uses less digits than its factorization.

4334414344313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825.

The product of its digits is 995328, while the sum is 41.

Adding to 4334414344313 its reverse (3134434144334), we get a palindrome (7468848488647).

The spelling of 4334414344313 in words is "four trillion, three hundred thirty-four billion, four hundred fourteen million, three hundred forty-four thousand, three hundred thirteen".