1445441628960 has 288 divisors, whose sum is σ = 5677783413120. Its totient is φ = 328009457664.

The previous prime is 1445441628937. The next prime is 1445441628979. The reversal of 1445441628960 is 698261445441.

1445441628960 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 4 + 1 + 628 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1445441628897 and 1445441628906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885304 + ... + 1916936.

It is an arithmetic number, because the mean of its divisors is an integer number (19714525740).

Almost surely, 2^{1445441628960} is an apocalyptic number.

1445441628960 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 1445441628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838891706560).

1445441628960 is an abundant number, since it is smaller than the sum of its proper divisors (4232341784160).

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

1445441628960 is a wasteful number, since it uses less digits than its factorization.

1445441628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031800 (or 1031789 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1445441628960 in words is "one trillion, four hundred forty-five billion, four hundred forty-one million, six hundred twenty-eight thousand, nine hundred sixty".