1448807316480 has 440 divisors, whose sum is σ = 5257542966720. Its totient is φ = 381449502720.

The previous prime is 1448807316457. The next prime is 1448807316491. The reversal of 1448807316480 is 846137088441.

1448807316480 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 80 + 73 + 16 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32740770 + ... + 32784990.

It is an arithmetic number, because the mean of its divisors is an integer number (11948961288).

Almost surely, 2^{1448807316480} is an apocalyptic number.

1448807316480 is a gapful number since it is divisible by the number (10) 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 1448807316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628771483360).

1448807316480 is an abundant number, since it is smaller than the sum of its proper divisors (3808735650240).

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

1448807316480 is an equidigital number, since it uses as much as digits as its factorization.

1448807316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44337 (or 44310 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1448807316480 in words is "one trillion, four hundred forty-eight billion, eight hundred seven million, three hundred sixteen thousand, four hundred eighty".