442212303212244 has 144 divisors (see below), whose sum is σ = 1136502214848000. Its totient is φ = 144950708105280.

The previous prime is 442212303212167. The next prime is 442212303212293.

442212303212244 is a `hidden beast` number, since 4 + 4 + 221 + 2 + 303 + 2 + 122 + 4 + 4 = 666.

442212303212244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442212303212244² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 442212303212199 and 442212303212208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5417966067 + ... + 5418047685.

It is an arithmetic number, because the mean of its divisors is an integer number (7892376492000).

Almost surely, 2^{442212303212244} 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 442212303212244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568251107424000).

442212303212244 is an abundant number, since it is smaller than the sum of its proper divisors (694289911635756).

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

442212303212244 is a wasteful number, since it uses less digits than its factorization.

442212303212244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87178 (or 87173 counting only the distinct ones).

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

It can be divided in two parts, 44221230 and 3212244, that added together give a palindrome (47433474).

The spelling of 442212303212244 in words is "four hundred forty-two trillion, two hundred twelve billion, three hundred three million, two hundred twelve thousand, two hundred forty-four".