442211111340112 has 80 divisors (see below), whose sum is σ = 895563287937360. Its totient is φ = 211257365889024.

The previous prime is 442211111340079. The next prime is 442211111340121. The reversal of 442211111340112 is 211043111112244.

It can be written as a sum of positive squares in 8 ways, for example, as 5743135562256 + 436467975777856 = 2396484^2 + 20891816^2 .

It is a super-3 number, since 3×442211111340112³ (a number of 45 digits) contains 333 as substring.

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, 416108368 + ... + 417169744.

It is an arithmetic number, because the mean of its divisors is an integer number (11194541099217).

Almost surely, 2^{442211111340112} 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 442211111340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447781643968680).

442211111340112 is an abundant number, since it is smaller than the sum of its proper divisors (453352176597248).

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

442211111340112 is a wasteful number, since it uses less digits than its factorization.

442211111340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070768 (or 1070762 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 442211111340112 its reverse (211043111112244), we get a palindrome (653254222452356).

The spelling of 442211111340112 in words is "four hundred forty-two trillion, two hundred eleven billion, one hundred eleven million, three hundred forty thousand, one hundred twelve".