1444141406336 has 128 divisors (see below), whose sum is σ = 2991925493760. Its totient is φ = 693593072640.

The previous prime is 1444141406333. The next prime is 1444141406363. The reversal of 1444141406336 is 6336041414441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1444141406293 and 1444141406302.

It is not an unprimeable number, because it can be changed into a prime (1444141406333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324742865 + ... + 324747311.

It is an arithmetic number, because the mean of its divisors is an integer number (23374417920).

Almost surely, 2^{1444141406336} is an apocalyptic number.

1444141406336 is a gapful number since it is divisible by the number (16) 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 1444141406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495962746880).

1444141406336 is an abundant number, since it is smaller than the sum of its proper divisors (1547784087424).

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

1444141406336 is a wasteful number, since it uses less digits than its factorization.

1444141406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 1444141406336 in words is "one trillion, four hundred forty-four billion, one hundred forty-one million, four hundred six thousand, three hundred thirty-six".