442378873244 has 192 divisors, whose sum is σ = 999193853952. Its totient is φ = 166397088000.

The previous prime is 442378873213. The next prime is 442378873337.

442378873244 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 442378873244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647699327 + ... + 647700009.

It is an arithmetic number, because the mean of its divisors is an integer number (5204134656).

Almost surely, 2^442378873244 is an apocalyptic number.

442378873244 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 442378873244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499596926976).

442378873244 is an abundant number, since it is smaller than the sum of its proper divisors (556814980708).

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

442378873244 is a wasteful number, since it uses less digits than its factorization.

442378873244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 442378873244 in words is "four hundred forty-two billion, three hundred seventy-eight million, eight hundred seventy-three thousand, two hundred forty-four".