8048480404000 has 96 divisors (see below), whose sum is σ = 19778442845616. Its totient is φ = 3218850611200.

The previous prime is 8048480403973. The next prime is 8048480404033. The reversal of 8048480404000 is 4040848408.

It can be written as a sum of positive squares in 8 ways, for example, as 3565045264 + 8044915358736 = 59708^2 + 2836356^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24045792 + ... + 24378208.

Almost surely, 2^{8048480404000} is an apocalyptic number.

8048480404000 is a gapful number since it is divisible by the number (80) 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 8048480404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889221422808).

8048480404000 is an abundant number, since it is smaller than the sum of its proper divisors (11729962441616).

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

8048480404000 is a wasteful number, since it uses less digits than its factorization.

8048480404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338495 (or 338477 counting only the distinct ones).

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

The spelling of 8048480404000 in words is "eight trillion, forty-eight billion, four hundred eighty million, four hundred four thousand".