442414432001 has 32 divisors (see below), whose sum is σ = 505824963840. Its totient is φ = 384427524096.

The previous prime is 442414431961. The next prime is 442414432013. The reversal of 442414432001 is 100234414244.

It is a cyclic number.

It is not a de Polignac number, because 442414432001 - 2⁶ = 442414431937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442414432091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60625985 + ... + 60633281.

It is an arithmetic number, because the mean of its divisors is an integer number (15807030120).

Almost surely, 2^442414432001 is an apocalyptic number.

It is an amenable number.

442414432001 is a deficient number, since it is larger than the sum of its proper divisors (63410531839).

442414432001 is a wasteful number, since it uses less digits than its factorization.

442414432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 442414432001 its reverse (100234414244), we get a palindrome (542648846245).

The spelling of 442414432001 in words is "four hundred forty-two billion, four hundred fourteen million, four hundred thirty-two thousand, one".