1444307397120 has 1280 divisors, whose sum is σ = 6001137331200. Its totient is φ = 326499434496.

The previous prime is 1444307397097. The next prime is 1444307397131. The reversal of 1444307397120 is 217937034441.

1444307397120 is a `hidden beast` number, since 1 + 4 + 4 + 430 + 7 + 3 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 5369172346 + ... + 5369172614.

It is an arithmetic number, because the mean of its divisors is an integer number (4688388540).

Almost surely, 2^{1444307397120} is an apocalyptic number.

1444307397120 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 1444307397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000568665600).

1444307397120 is an abundant number, since it is smaller than the sum of its proper divisors (4556829934080).

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

1444307397120 is an frugal number, since it uses more digits than its factorization.

1444307397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1444307397120 in words is "one trillion, four hundred forty-four billion, three hundred seven million, three hundred ninety-seven thousand, one hundred twenty".