442413243948 has 96 divisors (see below), whose sum is σ = 1123143682752. Its totient is φ = 134727552000.

The previous prime is 442413243947. The next prime is 442413243949. The reversal of 442413243948 is 849342314244.

It is an interprime number because it is at equal distance from previous prime (442413243947) and next prime (442413243949).

It is a junction number, because it is equal to n+sod(n) for n = 442413243897 and 442413243906.

It is not an unprimeable number, because it can be changed into a prime (442413243947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68897778 + ... + 68904198.

It is an arithmetic number, because the mean of its divisors is an integer number (11699413362).

Almost surely, 2^442413243948 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 442413243948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561571841376).

442413243948 is an abundant number, since it is smaller than the sum of its proper divisors (680730438804).

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

442413243948 is a wasteful number, since it uses less digits than its factorization.

442413243948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10915 (or 10913 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 442413243948 in words is "four hundred forty-two billion, four hundred thirteen million, two hundred forty-three thousand, nine hundred forty-eight".