1445275590720 has 224 divisors, whose sum is σ = 4943604113280. Its totient is φ = 355625287680.

The previous prime is 1445275590679. The next prime is 1445275590743. The reversal of 1445275590720 is 270955725441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35160580 + ... + 35201660.

It is an arithmetic number, because the mean of its divisors is an integer number (22069661220).

Almost surely, 2^{1445275590720} is an apocalyptic number.

1445275590720 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 1445275590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471802056640).

1445275590720 is an abundant number, since it is smaller than the sum of its proper divisors (3498328522560).

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

1445275590720 is a wasteful number, since it uses less digits than its factorization.

1445275590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43933 (or 43923 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 1445275590720 in words is "one trillion, four hundred forty-five billion, two hundred seventy-five million, five hundred ninety thousand, seven hundred twenty".