14424642441 has 36 divisors (see below), whose sum is σ = 23897712384. Its totient is φ = 8362097040.

The previous prime is 14424642431. The next prime is 14424642451.

14424642441 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 642 + 4 + 4 + 1 = 666.

14424642441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14424642431) and next prime (14424642451).

It is not a de Polignac number, because 14424642441 - 2⁹ = 14424641929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14424642396 and 14424642405.

It is not an unprimeable number, because it can be changed into a prime (14424642431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262905 + ... + 312998.

It is an arithmetic number, because the mean of its divisors is an integer number (663825344).

Almost surely, 2^14424642441 is an apocalyptic number.

14424642441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14424642441 is a deficient number, since it is larger than the sum of its proper divisors (9473069943).

14424642441 is a wasteful number, since it uses less digits than its factorization.

14424642441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575954 (or 575940 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 14424642441 in words is "fourteen billion, four hundred twenty-four million, six hundred forty-two thousand, four hundred forty-one".