1448280832320 has 1008 divisors, whose sum is σ = 6161554189440. Its totient is φ = 310631473152.

The previous prime is 1448280832319. The next prime is 1448280832331. The reversal of 1448280832320 is 232380828441.

1448280832320 is a `hidden beast` number, since 1 + 4 + 48 + 280 + 8 + 3 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172021071 + ... + 172029489.

Almost surely, 2^{1448280832320} is an apocalyptic number.

1448280832320 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 1448280832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080777094720).

1448280832320 is an abundant number, since it is smaller than the sum of its proper divisors (4713273357120).

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

1448280832320 is a wasteful number, since it uses less digits than its factorization.

1448280832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1448280832320 in words is "one trillion, four hundred forty-eight billion, two hundred eighty million, eight hundred thirty-two thousand, three hundred twenty".