1448412208320 has 896 divisors, whose sum is σ = 5995720507392. Its totient is φ = 287259033600.

The previous prime is 1448412208303. The next prime is 1448412208351. The reversal of 1448412208320 is 238022148441.

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, 1497840477 + ... + 1497841443.

It is an arithmetic number, because the mean of its divisors is an integer number (6691652352).

Almost surely, 2^{1448412208320} is an apocalyptic number.

1448412208320 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 1448412208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997860253696).

1448412208320 is an abundant number, since it is smaller than the sum of its proper divisors (4547308299072).

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

1448412208320 is a wasteful number, since it uses less digits than its factorization.

1448412208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 1448412208320 in words is "one trillion, four hundred forty-eight billion, four hundred twelve million, two hundred eight thousand, three hundred twenty".