442105402056512 has 112 divisors (see below), whose sum is σ = 921801630551040. Its totient is φ = 210132188393472.

The previous prime is 442105402056509. The next prime is 442105402056613. The reversal of 442105402056512 is 215650204501244.

It is a super-2 number, since 2×442105402056512² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442105402056512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59836793 + ... + 66818055.

Almost surely, 2^{442105402056512} 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 442105402056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460900815275520).

442105402056512 is an abundant number, since it is smaller than the sum of its proper divisors (479696228494528).

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

442105402056512 is a wasteful number, since it uses less digits than its factorization.

442105402056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981928 (or 6981918 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 442105402056512 its reverse (215650204501244), we get a palindrome (657755606557756).

The spelling of 442105402056512 in words is "four hundred forty-two trillion, one hundred five billion, four hundred two million, fifty-six thousand, five hundred twelve".