448375489282560 has 1280 divisors, whose sum is σ = 1762667039232000. Its totient is φ = 96921689260032.

The previous prime is 448375489282547. The next prime is 448375489282571. The reversal of 448375489282560 is 65282984573844.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29679974527 + ... + 29679989633.

It is an arithmetic number, because the mean of its divisors is an integer number (1377083624400).

Almost surely, 2^{448375489282560} is an apocalyptic number.

448375489282560 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 448375489282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881333519616000).

448375489282560 is an abundant number, since it is smaller than the sum of its proper divisors (1314291549949440).

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

448375489282560 is a wasteful number, since it uses less digits than its factorization.

448375489282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 3715891200, while the sum is 75.

The spelling of 448375489282560 in words is "four hundred forty-eight trillion, three hundred seventy-five billion, four hundred eighty-nine million, two hundred eighty-two thousand, five hundred sixty".