448560309120 has 256 divisors, whose sum is σ = 1782590906880. Its totient is φ = 93207306240.

The previous prime is 448560309091. The next prime is 448560309157. The reversal of 448560309120 is 21903065844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1369207 + ... + 1664886.

It is an arithmetic number, because the mean of its divisors is an integer number (6963245730).

Almost surely, 2^448560309120 is an apocalyptic number.

448560309120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448560309120 is an abundant number, since it is smaller than the sum of its proper divisors (1334030597760).

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

448560309120 is a wasteful number, since it uses less digits than its factorization.

448560309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034133 (or 3034121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 448560309120 in words is "four hundred forty-eight billion, five hundred sixty million, three hundred nine thousand, one hundred twenty".