442681173012 has 96 divisors (see below), whose sum is σ = 1118418223104. Its totient is φ = 135471600000.

The previous prime is 442681172987. The next prime is 442681173013. The reversal of 442681173012 is 210371186244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442681173013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28458637 + ... + 28474187.

It is an arithmetic number, because the mean of its divisors is an integer number (11650189824).

Almost surely, 2^442681173012 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 442681173012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559209111552).

442681173012 is an abundant number, since it is smaller than the sum of its proper divisors (675737050092).

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

442681173012 is a wasteful number, since it uses less digits than its factorization.

442681173012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 442681173012 in words is "four hundred forty-two billion, six hundred eighty-one million, one hundred seventy-three thousand, twelve".