14444120001300 has 144 divisors (see below), whose sum is σ = 45593022484800. Its totient is φ = 3501441459200.

The previous prime is 14444120001277. The next prime is 14444120001301. The reversal of 14444120001300 is 310002144441.

It is a super-2 number, since 2×14444120001300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444120001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80195746 + ... + 80375654.

It is an arithmetic number, because the mean of its divisors is an integer number (316618211700).

Almost surely, 2^{14444120001300} is an apocalyptic number.

14444120001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444120001300 is an abundant number, since it is smaller than the sum of its proper divisors (31148902483500).

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

14444120001300 is a wasteful number, since it uses less digits than its factorization.

14444120001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204266 (or 204259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14444120001300 its reverse (310002144441), we get a palindrome (14754122145741).

The spelling of 14444120001300 in words is "fourteen trillion, four hundred forty-four billion, one hundred twenty million, one thousand, three hundred".