442323214000 has 160 divisors (see below), whose sum is σ = 1080338103936. Its totient is φ = 175151513600.

The previous prime is 442323213989. The next prime is 442323214027. The reversal of 442323214000 is 412323244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85835424 + ... + 85840576.

Almost surely, 2^442323214000 is an apocalyptic number.

442323214000 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 442323214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540169051968).

442323214000 is an abundant number, since it is smaller than the sum of its proper divisors (638014889936).

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

442323214000 is a wasteful number, since it uses less digits than its factorization.

442323214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 442323214000 its reverse (412323244), we get a palindrome (442735537244).

The spelling of 442323214000 in words is "four hundred forty-two billion, three hundred twenty-three million, two hundred fourteen thousand".