442313004330120 has 256 divisors, whose sum is σ = 1655059841556480. Its totient is φ = 91870622438400.

The previous prime is 442313004330101. The next prime is 442313004330149. The reversal of 442313004330120 is 21033400313244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11974990 + ... + 32062850.

It is an arithmetic number, because the mean of its divisors is an integer number (6465077506080).

Almost surely, 2^{442313004330120} is an apocalyptic number.

442313004330120 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 442313004330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827529920778240).

442313004330120 is an abundant number, since it is smaller than the sum of its proper divisors (1212746837226360).

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

442313004330120 is a wasteful number, since it uses less digits than its factorization.

442313004330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090276 (or 20090272 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 442313004330120 its reverse (21033400313244), we get a palindrome (463346404643364).

The spelling of 442313004330120 in words is "four hundred forty-two trillion, three hundred thirteen billion, four million, three hundred thirty thousand, one hundred twenty".