442241440000 has 180 divisors, whose sum is σ = 1104428469760. Its totient is φ = 176682240000.

The previous prime is 442241439979. The next prime is 442241440007. The reversal of 442241440000 is 44142244.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (442241440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235359061 + ... + 235360939.

Almost surely, 2^442241440000 is an apocalyptic number.

442241440000 is a gapful number since it is divisible by the number (40) 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 442241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552214234880).

442241440000 is an abundant number, since it is smaller than the sum of its proper divisors (662187029760).

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

442241440000 is an equidigital number, since it uses as much as digits as its factorization.

442241440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 442241440000 its reverse (44142244), we get a palindrome (442285582244).

The spelling of 442241440000 in words is "four hundred forty-two billion, two hundred forty-one million, four hundred forty thousand".