442444444444002 has 768 divisors, whose sum is σ = 1248616265315328. Its totient is φ = 101616768000000.

The previous prime is 442444444443961. The next prime is 442444444444133. The reversal of 442444444444002 is 200444444444244.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44686839252 + ... + 44686849152.

It is an arithmetic number, because the mean of its divisors is an integer number (1625802428796).

Almost surely, 2^{442444444444002} is an apocalyptic number.

442444444444002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 442444444444002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624308132657664).

442444444444002 is an abundant number, since it is smaller than the sum of its proper divisors (806171820871326).

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

442444444444002 is a wasteful number, since it uses less digits than its factorization.

442444444444002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 48.

Adding to 442444444444002 its reverse (200444444444244), we get a palindrome (642888888888246).

It can be divided in two parts, 442 and 444444444002, that added together give a palindrome (444444444444).

The spelling of 442444444444002 in words is "four hundred forty-two trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, two".