442371173244 has 192 divisors, whose sum is σ = 1386876933120. Its totient is φ = 105987502080.

The previous prime is 442371173243. The next prime is 442371173249.

It is a happy number.

442371173244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442371173244² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442371173196 and 442371173205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442371173243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17873502 + ... + 17898234.

It is an arithmetic number, because the mean of its divisors is an integer number (7223317360).

Almost surely, 2^442371173244 is an apocalyptic number.

442371173244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442371173244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693438466560).

442371173244 is an abundant number, since it is smaller than the sum of its proper divisors (944505759876).

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

442371173244 is a wasteful number, since it uses less digits than its factorization.

442371173244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26260 (or 26258 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 442371173244 in words is "four hundred forty-two billion, three hundred seventy-one million, one hundred seventy-three thousand, two hundred forty-four".