442340400000 has 384 divisors, whose sum is σ = 1476419253120. Its totient is φ = 117331200000.

The previous prime is 442340399927. The next prime is 442340400011. The reversal of 442340400000 is 4043244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 442340400000.

It is a congruent number.

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, 253199127 + ... + 253200873.

It is an arithmetic number, because the mean of its divisors is an integer number (3844841805).

Almost surely, 2^442340400000 is an apocalyptic number.

442340400000 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 442340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738209626560).

442340400000 is an abundant number, since it is smaller than the sum of its proper divisors (1034078853120).

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

442340400000 is an equidigital number, since it uses as much as digits as its factorization.

442340400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 442340400000 its reverse (4043244), we get a palindrome (442344443244).

The spelling of 442340400000 in words is "four hundred forty-two billion, three hundred forty million, four hundred thousand".