442210340000 has 240 divisors, whose sum is σ = 1278105000480. Its totient is φ = 148433280000.

The previous prime is 442210339981. The next prime is 442210340041. The reversal of 442210340000 is 43012244.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2782691 + ... + 2937309.

It is an arithmetic number, because the mean of its divisors is an integer number (5325437502).

Almost surely, 2^442210340000 is an apocalyptic number.

442210340000 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 442210340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639052500240).

442210340000 is an abundant number, since it is smaller than the sum of its proper divisors (835894660480).

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

442210340000 is a wasteful number, since it uses less digits than its factorization.

442210340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154673 (or 154650 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442210340000 its reverse (43012244), we get a palindrome (442253352244).

The spelling of 442210340000 in words is "four hundred forty-two billion, two hundred ten million, three hundred forty thousand".