8448000408040 has 128 divisors (see below), whose sum is σ = 19818795709440. Its totient is φ = 3238341120000.

The previous prime is 8448000408019. The next prime is 8448000408047. The reversal of 8448000408040 is 408040008448.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8448000407984 and 8448000408002.

It is not an unprimeable number, because it can be changed into a prime (8448000408047) 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, 31421380 + ... + 31689100.

It is an arithmetic number, because the mean of its divisors is an integer number (154834341480).

Almost surely, 2^{8448000408040} 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 8448000408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909397854720).

8448000408040 is an abundant number, since it is smaller than the sum of its proper divisors (11370795301400).

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

8448000408040 is a wasteful number, since it uses less digits than its factorization.

8448000408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268115 (or 268111 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 8448000408040 in words is "eight trillion, four hundred forty-eight billion, four hundred eight thousand, forty".