442412020512 has 288 divisors, whose sum is σ = 1582441660800. Its totient is φ = 113894645760.

The previous prime is 442412020493. The next prime is 442412020513. The reversal of 442412020512 is 215020214244.

It is a happy number.

442412020512 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 120 + 20 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (442412020513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417614 + ... + 2594162.

It is an arithmetic number, because the mean of its divisors is an integer number (5494589100).

Almost surely, 2^442412020512 is an apocalyptic number.

442412020512 is a gapful number since it is divisible by the number (42) 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 442412020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791220830400).

442412020512 is an abundant number, since it is smaller than the sum of its proper divisors (1140029640288).

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

442412020512 is a wasteful number, since it uses less digits than its factorization.

442412020512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176696 (or 176685 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 442412020512 its reverse (215020214244), we get a palindrome (657432234756).

The spelling of 442412020512 in words is "four hundred forty-two billion, four hundred twelve million, twenty thousand, five hundred twelve".