442444021344 has 144 divisors (see below), whose sum is σ = 1355950722672. Its totient is φ = 136039578624.

The previous prime is 442444021343. The next prime is 442444021399. The reversal of 442444021344 is 443120444244.

It is a happy number.

442444021344 is a `hidden beast` number, since 4 + 4 + 244 + 402 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442444021299 and 442444021308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442444021343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5301282 + ... + 5384094.

It is an arithmetic number, because the mean of its divisors is an integer number (9416324463).

Almost surely, 2^442444021344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442444021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677975361336).

442444021344 is an abundant number, since it is smaller than the sum of its proper divisors (913506701328).

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

442444021344 is a wasteful number, since it uses less digits than its factorization.

442444021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84269 (or 84258 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 442444021344 its reverse (443120444244), we get a palindrome (885564465588).

The spelling of 442444021344 in words is "four hundred forty-two billion, four hundred forty-four million, twenty-one thousand, three hundred forty-four".