442010144000 has 144 divisors (see below), whose sum is σ = 1106823179280. Its totient is φ = 175885516800.

The previous prime is 442010143969. The next prime is 442010144011. The reversal of 442010144000 is 441010244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 135165051904 + 306845092096 = 367648^2 + 553936^2 .

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6140216 + ... + 6211784.

Almost surely, 2^442010144000 is an apocalyptic number.

442010144000 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 442010144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553411589640).

442010144000 is an abundant number, since it is smaller than the sum of its proper divisors (664813035280).

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

442010144000 is an equidigital number, since it uses as much as digits as its factorization.

442010144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71793 (or 71769 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 442010144000 its reverse (441010244), we get a palindrome (442451154244).

The spelling of 442010144000 in words is "four hundred forty-two billion, ten million, one hundred forty-four thousand".