442465742880 has 1728 divisors, whose sum is σ = 1957979132928. Its totient is φ = 90296156160.

The previous prime is 442465742819. The next prime is 442465742893. The reversal of 442465742880 is 88247564244.

It is a happy number.

442465742880 is a `hidden beast` number, since 4 + 4 + 2 + 46 + 574 + 28 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2714513679 + ... + 2714513841.

It is an arithmetic number, because the mean of its divisors is an integer number (1133089776).

Almost surely, 2^442465742880 is an apocalyptic number.

442465742880 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 442465742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978989566464).

442465742880 is an abundant number, since it is smaller than the sum of its proper divisors (1515513390048).

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

442465742880 is a wasteful number, since it uses less digits than its factorization.

442465742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 442465742880 in words is "four hundred forty-two billion, four hundred sixty-five million, seven hundred forty-two thousand, eight hundred eighty".