442413133213320 has 48 divisors (see below), whose sum is σ = 1437842682944460. Its totient is φ = 117976835523456.

The previous prime is 442413133213313. The next prime is 442413133213321. The reversal of 442413133213320 is 23312331314244.

442413133213320 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 1 + 3 + 1 + 3 + 321 + 3 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417387106442916 + 25026026770404 = 20430054^2 + 5002602^2 .

It is a super-5 number, since 5×442413133213320⁵ (a number of 74 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442413133213321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614462684659 + ... + 614462685378.

Almost surely, 2^{442413133213320} is an apocalyptic number.

442413133213320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442413133213320 is an abundant number, since it is smaller than the sum of its proper divisors (995429549731140).

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

442413133213320 is a wasteful number, since it uses less digits than its factorization.

442413133213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228925370054 (or 1228925370047 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 442413133213320 its reverse (23312331314244), we get a palindrome (465725464527564).

The spelling of 442413133213320 in words is "four hundred forty-two trillion, four hundred thirteen billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty".