442441113330309 has 16 divisors (see below), whose sum is σ = 590004966200832. Its totient is φ = 294919002493808.

The previous prime is 442441113330301. The next prime is 442441113330311. The reversal of 442441113330309 is 903033311144244.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 442441113330309 - 2³ = 442441113330301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442441113330301) 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, 2568020482 + ... + 2568192764.

It is an arithmetic number, because the mean of its divisors is an integer number (36875310387552).

Almost surely, 2^{442441113330309} is an apocalyptic number.

It is an amenable number.

442441113330309 is a deficient number, since it is larger than the sum of its proper divisors (147563852870523).

442441113330309 is a wasteful number, since it uses less digits than its factorization.

442441113330309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288456.

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 442441113330309 in words is "four hundred forty-two trillion, four hundred forty-one billion, one hundred thirteen million, three hundred thirty thousand, three hundred nine".