1441486368000 has 1440 divisors, whose sum is σ = 6250372128000. Its totient is φ = 323050291200.

The previous prime is 1441486367933. The next prime is 1441486368011. The reversal of 1441486368000 is 8636841441.

1441486368000 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 8 + 636 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 961631251 + ... + 961632749.

It is an arithmetic number, because the mean of its divisors is an integer number (4340536200).

Almost surely, 2^{1441486368000} is an apocalyptic number.

1441486368000 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 1441486368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125186064000).

1441486368000 is an abundant number, since it is smaller than the sum of its proper divisors (4808885760000).

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

1441486368000 is an equidigital number, since it uses as much as digits as its factorization.

1441486368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1441486368000 in words is "one trillion, four hundred forty-one billion, four hundred eighty-six million, three hundred sixty-eight thousand".