448909834080 has 192 divisors, whose sum is σ = 1431147372480. Its totient is φ = 118265511936.

The previous prime is 448909834073. The next prime is 448909834099. The reversal of 448909834080 is 80438909844.

It is a self number, because there is not a number n which added to its sum of digits gives 448909834080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61214094 + ... + 61221426.

It is an arithmetic number, because the mean of its divisors is an integer number (7453892565).

Almost surely, 2^448909834080 is an apocalyptic number.

448909834080 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 448909834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715573686240).

448909834080 is an abundant number, since it is smaller than the sum of its proper divisors (982237538400).

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

448909834080 is a wasteful number, since it uses less digits than its factorization.

448909834080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 448909834080 in words is "four hundred forty-eight billion, nine hundred nine million, eight hundred thirty-four thousand, eighty".