442724550720 has 336 divisors, whose sum is σ = 1476455125824. Its totient is φ = 112364236800.

The previous prime is 442724550643. The next prime is 442724550721. The reversal of 442724550720 is 27055427244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442724550721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 56272227 + ... + 56280093.

It is an arithmetic number, because the mean of its divisors is an integer number (4394211684).

Almost surely, 2^442724550720 is an apocalyptic number.

442724550720 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 442724550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738227562912).

442724550720 is an abundant number, since it is smaller than the sum of its proper divisors (1033730575104).

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

442724550720 is a wasteful number, since it uses less digits than its factorization.

442724550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 42.

Adding to 442724550720 its reverse (27055427244), we get a palindrome (469779977964).

The spelling of 442724550720 in words is "four hundred forty-two billion, seven hundred twenty-four million, five hundred fifty thousand, seven hundred twenty".