442447346230344 has 1280 divisors, whose sum is σ = 1646840720448000. Its totient is φ = 107736213749760.

The previous prime is 442447346230339. The next prime is 442447346230369. The reversal of 442447346230344 is 443032643744244.

442447346230344 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 4 + 7 + 3 + 4 + 623 + 0 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 7449456712 + ... + 7449516104.

It is an arithmetic number, because the mean of its divisors is an integer number (1286594312850).

Almost surely, 2^{442447346230344} 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 442447346230344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823420360224000).

442447346230344 is an abundant number, since it is smaller than the sum of its proper divisors (1204393374217656).

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

442447346230344 is a wasteful number, since it uses less digits than its factorization.

442447346230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59620 (or 59607 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 54.

Adding to 442447346230344 its reverse (443032643744244), we get a palindrome (885479989974588).

The spelling of 442447346230344 in words is "four hundred forty-two trillion, four hundred forty-seven billion, three hundred forty-six million, two hundred thirty thousand, three hundred forty-four".