442055322720 has 960 divisors, whose sum is σ = 1833618124800. Its totient is φ = 99176140800.

The previous prime is 442055322719. The next prime is 442055322817. The reversal of 442055322720 is 27223550244.

442055322720 is a `hidden beast` number, since 4 + 420 + 5 + 5 + 3 + 227 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101643106 + ... + 101647454.

It is an arithmetic number, because the mean of its divisors is an integer number (1910018880).

Almost surely, 2^442055322720 is an apocalyptic number.

442055322720 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 442055322720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916809062400).

442055322720 is an abundant number, since it is smaller than the sum of its proper divisors (1391562802080).

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

442055322720 is a wasteful number, since it uses less digits than its factorization.

442055322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 442055322720 its reverse (27223550244), we get a palindrome (469278872964).

The spelling of 442055322720 in words is "four hundred forty-two billion, fifty-five million, three hundred twenty-two thousand, seven hundred twenty".