10114011441 has 6 divisors (see below), whose sum is σ = 14609127650. Its totient is φ = 6742674288.

The previous prime is 10114011431. The next prime is 10114011443. The reversal of 10114011441 is 14411041101.

10114011441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8154090000 + 1959921441 = 90300^2 + 44271^2 .

It is not a de Polignac number, because 10114011441 - 2²¹ = 10111914289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10114011443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561889516 + ... + 561889533.

Almost surely, 2^10114011441 is an apocalyptic number.

It is an amenable number.

10114011441 is a deficient number, since it is larger than the sum of its proper divisors (4495116209).

10114011441 is a wasteful number, since it uses less digits than its factorization.

10114011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123779055 (or 1123779052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10114011441 its reverse (14411041101), we get a palindrome (24525052542).

The spelling of 10114011441 in words is "ten billion, one hundred fourteen million, eleven thousand, four hundred forty-one".