442079301312 has 672 divisors, whose sum is σ = 1544562539520. Its totient is φ = 123922068480.

The previous prime is 442079301239. The next prime is 442079301319. The reversal of 442079301312 is 213103970244.

It is a happy number.

442079301312 is a `hidden beast` number, since 4 + 420 + 79 + 30 + 131 + 2 = 666.

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 (442079301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139764243 + ... + 139767405.

It is an arithmetic number, because the mean of its divisors is an integer number (2298456160).

Almost surely, 2^442079301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442079301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772281269760).

442079301312 is an abundant number, since it is smaller than the sum of its proper divisors (1102483238208).

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

442079301312 is a wasteful number, since it uses less digits than its factorization.

442079301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 442079301312 in words is "four hundred forty-two billion, seventy-nine million, three hundred one thousand, three hundred twelve".