442231104001 has 16 divisors (see below), whose sum is σ = 473838627600. Its totient is φ = 411251703808.

The previous prime is 442231103953. The next prime is 442231104011. The reversal of 442231104001 is 100401132244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7687782400 + 434543321601 = 87680^2 + 659199^2 .

It is a cyclic number.

It is not a de Polignac number, because 442231104001 - 2²³ = 442222715393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442231104011) 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 15 ways as a sum of consecutive naturals, for example, 2066145 + ... + 2270113.

It is an arithmetic number, because the mean of its divisors is an integer number (29614914225).

Almost surely, 2^442231104001 is an apocalyptic number.

It is an amenable number.

442231104001 is a deficient number, since it is larger than the sum of its proper divisors (31607523599).

442231104001 is a wasteful number, since it uses less digits than its factorization.

442231104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205508.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 442231104001 its reverse (100401132244), we get a palindrome (542632236245).

The spelling of 442231104001 in words is "four hundred forty-two billion, two hundred thirty-one million, one hundred four thousand, one".