1444240014300 has 576 divisors, whose sum is σ = 5036387650560. Its totient is φ = 354064296960.

The previous prime is 1444240014271. The next prime is 1444240014341. The reversal of 1444240014300 is 34100424441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190705314 + ... + 190712886.

It is an arithmetic number, because the mean of its divisors is an integer number (8743728560).

Almost surely, 2^{1444240014300} is an apocalyptic number.

1444240014300 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 1444240014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518193825280).

1444240014300 is an abundant number, since it is smaller than the sum of its proper divisors (3592147636260).

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

1444240014300 is a wasteful number, since it uses less digits than its factorization.

1444240014300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1444240014300 its reverse (34100424441), we get a palindrome (1478340438741).

The spelling of 1444240014300 in words is "one trillion, four hundred forty-four billion, two hundred forty million, fourteen thousand, three hundred".