442132424231244 has 72 divisors (see below), whose sum is σ = 1066007010890304. Its totient is φ = 142621704439200.

The previous prime is 442132424231243. The next prime is 442132424231297.

442132424231244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442132424231196 and 442132424231205.

It is not an unprimeable number, because it can be changed into a prime (442132424231243) 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 23 ways as a sum of consecutive naturals, for example, 1342286979 + ... + 1342616325.

It is an arithmetic number, because the mean of its divisors is an integer number (14805652929032).

Almost surely, 2^{442132424231244} is an apocalyptic number.

It is an amenable number.

442132424231244 is an abundant number, since it is smaller than the sum of its proper divisors (623874586659060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442132424231244 is a wasteful number, since it uses less digits than its factorization.

442132424231244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445827 (or 445794 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 442132424231244 in words is "four hundred forty-two trillion, one hundred thirty-two billion, four hundred twenty-four million, two hundred thirty-one thousand, two hundred forty-four".