14134441412300 has 144 divisors (see below), whose sum is σ = 34474486762464. Its totient is φ = 4986282240000.

The previous prime is 14134441412279. The next prime is 14134441412309. The reversal of 14134441412300 is 321414443141.

It is not an unprimeable number, because it can be changed into a prime (14134441412309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3455510 + ... + 6341090.

Almost surely, 2^{14134441412300} is an apocalyptic number.

14134441412300 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 14134441412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237243381232).

14134441412300 is an abundant number, since it is smaller than the sum of its proper divisors (20340045350164).

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

14134441412300 is a wasteful number, since it uses less digits than its factorization.

14134441412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885740 (or 2885733 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 14134441412300 its reverse (321414443141), we get a palindrome (14455855855441).

The spelling of 14134441412300 in words is "fourteen trillion, one hundred thirty-four billion, four hundred forty-one million, four hundred twelve thousand, three hundred".