442724171208256 has 896 divisors, whose sum is σ = 1107770853556224. Its totient is φ = 171298496839680.

The previous prime is 442724171208229. The next prime is 442724171208257. The reversal of 442724171208256 is 652802171427244.

It is a junction number, because it is equal to n+sod(n) for n = 442724171208197 and 442724171208206.

It is not an unprimeable number, because it can be changed into a prime (442724171208257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1598282206390 + ... + 1598282206666.

Almost surely, 2^{442724171208256} 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 442724171208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553885426778112).

442724171208256 is an abundant number, since it is smaller than the sum of its proper divisors (665046682347968).

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

442724171208256 is a wasteful number, since it uses less digits than its factorization.

442724171208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 55.

The spelling of 442724171208256 in words is "four hundred forty-two trillion, seven hundred twenty-four billion, one hundred seventy-one million, two hundred eight thousand, two hundred fifty-six".