442035032001 has 16 divisors (see below), whose sum is σ = 589891676160. Its totient is φ = 294434323920.

The previous prime is 442035031931. The next prime is 442035032029. The reversal of 442035032001 is 100230530244.

It is not a de Polignac number, because 442035032001 - 2¹⁰ = 442035030977 is a prime.

It is a super-2 number, since 2×442035032001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442035032041) 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, 17709336 + ... + 17734278.

It is an arithmetic number, because the mean of its divisors is an integer number (36868229760).

Almost surely, 2^442035032001 is an apocalyptic number.

It is an amenable number.

442035032001 is a deficient number, since it is larger than the sum of its proper divisors (147856644159).

442035032001 is a wasteful number, since it uses less digits than its factorization.

442035032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29836.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 442035032001 its reverse (100230530244), we get a palindrome (542265562245).

The spelling of 442035032001 in words is "four hundred forty-two billion, thirty-five million, thirty-two thousand, one".