442142241244 has 48 divisors (see below), whose sum is σ = 940781157120. Its totient is φ = 179196399360.

The previous prime is 442142241217. The next prime is 442142241283.

442142241244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442142241244² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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

It is a congruent number.

It is an unprimeable number.

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, 15541032 + ... + 15569455.

It is an arithmetic number, because the mean of its divisors is an integer number (19599607440).

Almost surely, 2^442142241244 is an apocalyptic number.

442142241244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442142241244 is an abundant number, since it is smaller than the sum of its proper divisors (498638915876).

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

442142241244 is a wasteful number, since it uses less digits than its factorization.

442142241244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31110538 (or 31110536 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 442142 and 241244, that added together give a palindrome (683386).

The spelling of 442142241244 in words is "four hundred forty-two billion, one hundred forty-two million, two hundred forty-one thousand, two hundred forty-four".