442241300000 has 288 divisors, whose sum is σ = 1141752704400. Its totient is φ = 168376320000.

The previous prime is 442241299993. The next prime is 442241300041. The reversal of 442241300000 is 3142244.

It can be written as a sum of positive squares in 24 ways, for example, as 261517686544 + 180723613456 = 511388^2 + 425116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 211698956 + ... + 211701044.

Almost surely, 2^442241300000 is an apocalyptic number.

442241300000 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 442241300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570876352200).

442241300000 is an abundant number, since it is smaller than the sum of its proper divisors (699511404400).

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

442241300000 is an equidigital number, since it uses as much as digits as its factorization.

442241300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442241300000 its reverse (3142244), we get a palindrome (442244442244).

The spelling of 442241300000 in words is "four hundred forty-two billion, two hundred forty-one million, three hundred thousand".