442002444000001 has 8 divisors (see below), whose sum is σ = 450343177746984. Its totient is φ = 433661749697280.

The previous prime is 442002443999971. The next prime is 442002444000017. The reversal of 442002444000001 is 100000444200244.

It can be written as a sum of positive squares in 4 ways, for example, as 270332404225 + 441732111595776 = 519935^2 + 21017424^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 442002444000001 - 2²⁵ = 442002410445569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442002444000001.

It is not an unprimeable number, because it can be changed into a prime (442002444007001) 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, 13268991 + ... + 32558731.

It is an arithmetic number, because the mean of its divisors is an integer number (56292897218373).

Almost surely, 2^{442002444000001} is an apocalyptic number.

It is an amenable number.

442002444000001 is a deficient number, since it is larger than the sum of its proper divisors (8340733746983).

442002444000001 is a wasteful number, since it uses less digits than its factorization.

442002444000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722131.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 442002444000001 its reverse (100000444200244), we get a palindrome (542002888200245).

The spelling of 442002444000001 in words is "four hundred forty-two trillion, two billion, four hundred forty-four million, one", and thus it is an aban number.