442002444000000 has 2016 divisors, whose sum is σ = 1650205470849600. Its totient is φ = 104310374400000.

The previous prime is 442002443999971. The next prime is 442002444000017. The reversal of 442002444000000 is 444200244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 421355999476 + ... + 421356000524.

Almost surely, 2^{442002444000000} is an apocalyptic number.

442002444000000 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 442002444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825102735424800).

442002444000000 is an abundant number, since it is smaller than the sum of its proper divisors (1208203026849600).

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

442002444000000 is an equidigital number, since it uses as much as digits as its factorization.

442002444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 442002444000000 its reverse (444200244), we get a palindrome (442002888200244).

The spelling of 442002444000000 in words is "four hundred forty-two trillion, two billion, four hundred forty-four million", and thus it is an aban number.