442140322020210 has 256 divisors, whose sum is σ = 1328091608678400. Its totient is φ = 103698712684800.

The previous prime is 442140322020151. The next prime is 442140322020251. The reversal of 442140322020210 is 12020223041244.

It is a happy number.

442140322020210 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 403 + 2 + 20 + 20 + 210 = 666.

It is a super-2 number, since 2×442140322020210² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 327002472 + ... + 328351788.

It is an arithmetic number, because the mean of its divisors is an integer number (5187857846400).

Almost surely, 2^{442140322020210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442140322020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664045804339200).

442140322020210 is an abundant number, since it is smaller than the sum of its proper divisors (885951286658190).

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

442140322020210 is a wasteful number, since it uses less digits than its factorization.

442140322020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352934 (or 1352928 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442140322020210 its reverse (12020223041244), we get a palindrome (454160545061454).

The spelling of 442140322020210 in words is "four hundred forty-two trillion, one hundred forty billion, three hundred twenty-two million, twenty thousand, two hundred ten".