8442088802448 has 160 divisors (see below), whose sum is σ = 25174584056832. Its totient is φ = 2387807424000.

The previous prime is 8442088802447. The next prime is 8442088802449.

It is a happy number.

8442088802448 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8442088802447) and next prime (8442088802449).

It is a junction number, because it is equal to n+sod(n) for n = 8442088802391 and 8442088802400.

It is not an unprimeable number, because it can be changed into a prime (8442088802443) 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, 335376903 + ... + 335402073.

Almost surely, 2^{8442088802448} 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 8442088802448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587292028416).

8442088802448 is an abundant number, since it is smaller than the sum of its proper divisors (16732495254384).

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

8442088802448 is a wasteful number, since it uses less digits than its factorization.

8442088802448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35173 (or 35167 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 60.

The spelling of 8442088802448 in words is "eight trillion, four hundred forty-two billion, eighty-eight million, eight hundred two thousand, four hundred forty-eight".