1444321880064 has 864 divisors, whose sum is σ = 5409476654400. Its totient is φ = 367873228800.

The previous prime is 1444321880051. The next prime is 1444321880077. The reversal of 1444321880064 is 4600881234441.

1444321880064 is a `hidden beast` number, since 144 + 432 + 18 + 8 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1444321880051) and next prime (1444321880077).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291720789 + ... + 291725739.

It is an arithmetic number, because the mean of its divisors is an integer number (6260968350).

Almost surely, 2^{1444321880064} is an apocalyptic number.

1444321880064 is a gapful number since it is divisible by the number (14) 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 1444321880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704738327200).

1444321880064 is an abundant number, since it is smaller than the sum of its proper divisors (3965154774336).

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

1444321880064 is a wasteful number, since it uses less digits than its factorization.

1444321880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1444321880064 in words is "one trillion, four hundred forty-four billion, three hundred twenty-one million, eight hundred eighty thousand, sixty-four".