448837509120 has 1792 divisors, whose sum is σ = 1997541181440. Its totient is φ = 83047219200.

The previous prime is 448837509097. The next prime is 448837509149. The reversal of 448837509120 is 21905738844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5043118036 + ... + 5043118124.

It is an arithmetic number, because the mean of its divisors is an integer number (1114699320).

Almost surely, 2^448837509120 is an apocalyptic number.

448837509120 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 448837509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998770590720).

448837509120 is an abundant number, since it is smaller than the sum of its proper divisors (1548703672320).

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

448837509120 is a wasteful number, since it uses less digits than its factorization.

448837509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 448837509120 in words is "four hundred forty-eight billion, eight hundred thirty-seven million, five hundred nine thousand, one hundred twenty".