442104516033101 has 8 divisors (see below), whose sum is σ = 442889066252280. Its totient is φ = 441320029267968.

The previous prime is 442104516033091. The next prime is 442104516033127. The reversal of 442104516033101 is 101330615401244.

It can be written as a sum of positive squares in 4 ways, for example, as 251322840517225 + 190781675515876 = 15853165^2 + 13812374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-442104516033101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442104516039101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905626 + ... + 29796651.

It is an arithmetic number, because the mean of its divisors is an integer number (55361133281535).

Almost surely, 2^{442104516033101} is an apocalyptic number.

It is an amenable number.

442104516033101 is a deficient number, since it is larger than the sum of its proper divisors (784550219179).

442104516033101 is a wasteful number, since it uses less digits than its factorization.

442104516033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31727023.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 442104516033101 in words is "four hundred forty-two trillion, one hundred four billion, five hundred sixteen million, thirty-three thousand, one hundred one".