448080080000 has 160 divisors (see below), whose sum is σ = 1274821426560. Its totient is φ = 153627264000.

The previous prime is 448080079987. The next prime is 448080080009. The reversal of 448080080000 is 80080844.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (448080080009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159929 + ... + 960071.

It is an arithmetic number, because the mean of its divisors is an integer number (7967633916).

Almost surely, 2^448080080000 is an apocalyptic number.

448080080000 is a gapful number since it is divisible by the number (40) 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 448080080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637410713280).

448080080000 is an abundant number, since it is smaller than the sum of its proper divisors (826741346560).

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

448080080000 is an frugal number, since it uses more digits than its factorization.

448080080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800184 (or 800157 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 448080080000 in words is "four hundred forty-eight billion, eighty million, eighty thousand".