1445372328960 has 1408 divisors, whose sum is σ = 6238076928000. Its totient is φ = 310016802816.

The previous prime is 1445372328943. The next prime is 1445372328991. The reversal of 1445372328960 is 698232735441.

1445372328960 is a `hidden beast` number, since 1 + 4 + 4 + 537 + 23 + 2 + 89 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1445372328897 and 1445372328906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2335011531 + ... + 2335012149.

It is a 1-persistent number, because it is pandigital, but 2⋅1445372328960 = 2890744657920 is not.

Almost surely, 2^{1445372328960} is an apocalyptic number.

1445372328960 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 1445372328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119038464000).

1445372328960 is an abundant number, since it is smaller than the sum of its proper divisors (4792704599040).

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

1445372328960 is a wasteful number, since it uses less digits than its factorization.

1445372328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1445372328960 in words is "one trillion, four hundred forty-five billion, three hundred seventy-two million, three hundred twenty-eight thousand, nine hundred sixty".