442936050120 has 192 divisors, whose sum is σ = 1464706152000. Its totient is φ = 116053645824.

The previous prime is 442936050079. The next prime is 442936050131. The reversal of 442936050120 is 21050639244.

It is a happy number.

442936050120 is a `hidden beast` number, since 4 + 4 + 2 + 93 + 60 + 501 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52607271 + ... + 52615689.

It is an arithmetic number, because the mean of its divisors is an integer number (7628677875).

Almost surely, 2^442936050120 is an apocalyptic number.

442936050120 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 442936050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732353076000).

442936050120 is an abundant number, since it is smaller than the sum of its proper divisors (1021770101880).

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

442936050120 is a wasteful number, since it uses less digits than its factorization.

442936050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 442936050120 its reverse (21050639244), we get a palindrome (463986689364).

The spelling of 442936050120 in words is "four hundred forty-two billion, nine hundred thirty-six million, fifty thousand, one hundred twenty".