1444102440800 has 144 divisors (see below), whose sum is σ = 3741310853280. Its totient is φ = 542421442560.

The previous prime is 1444102440797. The next prime is 1444102440901. The reversal of 1444102440800 is 80442014441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5849462 + ... + 6091338.

It is an arithmetic number, because the mean of its divisors is an integer number (25981325370).

Almost surely, 2^{1444102440800} is an apocalyptic number.

1444102440800 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 1444102440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870655426640).

1444102440800 is an abundant number, since it is smaller than the sum of its proper divisors (2297208412480).

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

1444102440800 is a wasteful number, since it uses less digits than its factorization.

1444102440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242353 (or 242340 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 1444102440800 in words is "one trillion, four hundred forty-four billion, one hundred two million, four hundred forty thousand, eight hundred".