1444269301440 has 896 divisors, whose sum is σ = 5622462720000. Its totient is φ = 306794594304.

The previous prime is 1444269301417. The next prime is 1444269301441. The reversal of 1444269301440 is 441039624441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1444269301392 and 1444269301401.

It is not an unprimeable number, because it can be changed into a prime (1444269301441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1693164054 + ... + 1693164906.

It is an arithmetic number, because the mean of its divisors is an integer number (6275070000).

Almost surely, 2^{1444269301440} is an apocalyptic number.

1444269301440 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 1444269301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811231360000).

1444269301440 is an abundant number, since it is smaller than the sum of its proper divisors (4178193418560).

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

1444269301440 is a wasteful number, since it uses less digits than its factorization.

1444269301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 1444269301440 in words is "one trillion, four hundred forty-four billion, two hundred sixty-nine million, three hundred one thousand, four hundred forty".