80408448480000 has 720 divisors, whose sum is σ = 277870014132480. Its totient is φ = 20610852864000.

The previous prime is 80408448479981. The next prime is 80408448480001. The reversal of 80408448480000 is 8484480408.

It is a happy number.

80408448480000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (80408448480001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3159827277 + ... + 3159852723.

It is an arithmetic number, because the mean of its divisors is an integer number (385930575184).

Almost surely, 2^{80408448480000} is an apocalyptic number.

80408448480000 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 80408448480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138935007066240).

80408448480000 is an abundant number, since it is smaller than the sum of its proper divisors (197461565652480).

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

80408448480000 is a wasteful number, since it uses less digits than its factorization.

80408448480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25742 (or 25713 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 80408448480000 in words is "eighty trillion, four hundred eight billion, four hundred forty-eight million, four hundred eighty thousand".