442427922720 has 1296 divisors, whose sum is σ = 1908296470080. Its totient is φ = 96509242368.

The previous prime is 442427922719. The next prime is 442427922733. The reversal of 442427922720 is 27229724244.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1007808261 + ... + 1007808699.

It is an arithmetic number, because the mean of its divisors is an integer number (1472450980).

Almost surely, 2^442427922720 is an apocalyptic number.

442427922720 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 442427922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954148235040).

442427922720 is an abundant number, since it is smaller than the sum of its proper divisors (1465868547360).

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

442427922720 is a wasteful number, since it uses less digits than its factorization.

442427922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 442427922720 in words is "four hundred forty-two billion, four hundred twenty-seven million, nine hundred twenty-two thousand, seven hundred twenty".