8448400080000 has 240 divisors, whose sum is σ = 30379217218350. Its totient is φ = 2252906496000.

The previous prime is 8448400079971. The next prime is 8448400080011. The reversal of 8448400080000 is 800048448.

It can be written as a sum of positive squares in 5 ways, for example, as 1159825610304 + 7288574469696 = 1076952^2 + 2699736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5146945 + ... + 6586944.

Almost surely, 2^{8448400080000} is an apocalyptic number.

8448400080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8448400080000 is an abundant number, since it is smaller than the sum of its proper divisors (21930817138350).

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

8448400080000 is a wasteful number, since it uses less digits than its factorization.

8448400080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11733929 (or 11733899 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 8448400080000 in words is "eight trillion, four hundred forty-eight billion, four hundred million, eighty thousand".