448359824640 has 576 divisors, whose sum is σ = 1776451977216. Its totient is φ = 93844832256.

The previous prime is 448359824617. The next prime is 448359824641. The reversal of 448359824640 is 46428953844.

It is a super-2 number, since 2×448359824640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448359824641) 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 63 ways as a sum of consecutive naturals, for example, 44373829 + ... + 44383931.

It is an arithmetic number, because the mean of its divisors is an integer number (3084118016).

Almost surely, 2^448359824640 is an apocalyptic number.

448359824640 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 448359824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888225988608).

448359824640 is an abundant number, since it is smaller than the sum of its proper divisors (1328092152576).

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

448359824640 is a wasteful number, since it uses less digits than its factorization.

448359824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 448359824640 in words is "four hundred forty-eight billion, three hundred fifty-nine million, eight hundred twenty-four thousand, six hundred forty".