10114404330441 has 16 divisors (see below), whose sum is σ = 13495205376576. Its totient is φ = 6738270176256.

The previous prime is 10114404330431. The next prime is 10114404330479. The reversal of 10114404330441 is 14403340441101.

It is not a de Polignac number, because 10114404330441 - 2¹⁹ = 10114403806153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10114404330399 and 10114404330408.

It is not an unprimeable number, because it can be changed into a prime (10114404330431) 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, 133409841 + ... + 133485633.

It is an arithmetic number, because the mean of its divisors is an integer number (843450336036).

Almost surely, 2^{10114404330441} is an apocalyptic number.

It is an amenable number.

10114404330441 is a deficient number, since it is larger than the sum of its proper divisors (3380801046135).

10114404330441 is a wasteful number, since it uses less digits than its factorization.

10114404330441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105992.

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

Adding to 10114404330441 its reverse (14403340441101), we get a palindrome (24517744771542).

The spelling of 10114404330441 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred thirty thousand, four hundred forty-one".