442221343241356 has 96 divisors (see below), whose sum is σ = 939704311203840. Its totient is φ = 177758745037824.

The previous prime is 442221343241341. The next prime is 442221343241357. The reversal of 442221343241356 is 653142343122244.

It is not an unprimeable number, because it can be changed into a prime (442221343241357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4334474961 + ... + 4334576983.

It is an arithmetic number, because the mean of its divisors is an integer number (9788586575040).

Almost surely, 2^{442221343241356} 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 442221343241356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469852155601920).

442221343241356 is an abundant number, since it is smaller than the sum of its proper divisors (497482967962484).

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

442221343241356 is a wasteful number, since it uses less digits than its factorization.

442221343241356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133423 (or 133421 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 46.

The spelling of 442221343241356 in words is "four hundred forty-two trillion, two hundred twenty-one billion, three hundred forty-three million, two hundred forty-one thousand, three hundred fifty-six".