1444342313300 has 72 divisors (see below), whose sum is σ = 3220798465080. Its totient is φ = 561867212800.

The previous prime is 1444342313251. The next prime is 1444342313311. The reversal of 1444342313300 is 33132434441.

It can be written as a sum of positive squares in 12 ways, for example, as 1267254524176 + 177087789124 = 1125724^2 + 420818^2 .

It is a super-2 number, since 2×1444342313300² (a number of 25 digits) contains 22 as substring.

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, 744056 + ... + 1855344.

It is an arithmetic number, because the mean of its divisors is an integer number (44733312015).

Almost surely, 2^{1444342313300} is an apocalyptic number.

1444342313300 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 1444342313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610399232540).

1444342313300 is an abundant number, since it is smaller than the sum of its proper divisors (1776456151780).

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

1444342313300 is a wasteful number, since it uses less digits than its factorization.

1444342313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111661 (or 1111654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1444342313300 its reverse (33132434441), we get a palindrome (1477474747741).

The spelling of 1444342313300 in words is "one trillion, four hundred forty-four billion, three hundred forty-two million, three hundred thirteen thousand, three hundred".