442255440000 has 320 divisors, whose sum is σ = 1601416507680. Its totient is φ = 107212800000.

The previous prime is 442255439999. The next prime is 442255440031. The reversal of 442255440000 is 44552244.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 442255440000.

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 39 ways as a sum of consecutive naturals, for example, 2556240 + ... + 2723760.

Almost surely, 2^442255440000 is an apocalyptic number.

442255440000 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 442255440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800708253840).

442255440000 is an abundant number, since it is smaller than the sum of its proper divisors (1159161067680).

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

442255440000 is a wasteful number, since it uses less digits than its factorization.

442255440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167569 (or 167542 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 442255440000 its reverse (44552244), we get a palindrome (442299992244).

The spelling of 442255440000 in words is "four hundred forty-two billion, two hundred fifty-five million, four hundred forty thousand".