442144123344 has 600 divisors, whose sum is σ = 1637686359936. Its totient is φ = 114820675200.

The previous prime is 442144123301. The next prime is 442144123471. The reversal of 442144123344 is 443321441244.

442144123344 is a `hidden beast` number, since 44 + 214 + 41 + 23 + 344 = 666.

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

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 = 442144123299 and 442144123308.

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 119 ways as a sum of consecutive naturals, for example, 84521209 + ... + 84526439.

Almost surely, 2^442144123344 is an apocalyptic number.

442144123344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442144123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818843179968).

442144123344 is an abundant number, since it is smaller than the sum of its proper divisors (1195542236592).

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

442144123344 is a wasteful number, since it uses less digits than its factorization.

442144123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5254 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 442144123344 its reverse (443321441244), we get a palindrome (885465564588).

The spelling of 442144123344 in words is "four hundred forty-two billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred forty-four".