442445410000 has 200 divisors, whose sum is σ = 1169758532448. Its totient is φ = 160728000000.

The previous prime is 442445409997. The next prime is 442445410019. The reversal of 442445410000 is 14544244.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 199208890 + ... + 199211110.

Almost surely, 2^442445410000 is an apocalyptic number.

442445410000 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 442445410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584879266224).

442445410000 is an abundant number, since it is smaller than the sum of its proper divisors (727313122448).

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

442445410000 is a wasteful number, since it uses less digits than its factorization.

442445410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 442445410000 its reverse (14544244), we get a palindrome (442459954244).

The spelling of 442445410000 in words is "four hundred forty-two billion, four hundred forty-five million, four hundred ten thousand".