442212010000 has 200 divisors, whose sum is σ = 1111389491520. Its totient is φ = 170194752000.

The previous prime is 442212009977. The next prime is 442212010027. The reversal of 442212010000 is 10212244.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 89027517 + ... + 89032483.

Almost surely, 2^442212010000 is an apocalyptic number.

442212010000 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 442212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555694745760).

442212010000 is an abundant number, since it is smaller than the sum of its proper divisors (669177481520).

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

442212010000 is a wasteful number, since it uses less digits than its factorization.

442212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 442212010000 its reverse (10212244), we get a palindrome (442222222244).

The spelling of 442212010000 in words is "four hundred forty-two billion, two hundred twelve million, ten thousand".