14213434210304 has 384 divisors, whose sum is σ = 36563594296320. Its totient is φ = 5380300603392.

The previous prime is 14213434210301. The next prime is 14213434210319. The reversal of 14213434210304 is 40301243431241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213434210301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297061007 + ... + 297108849.

It is an arithmetic number, because the mean of its divisors is an integer number (95217693480).

Almost surely, 2^{14213434210304} is an apocalyptic number.

14213434210304 is a gapful number since it is divisible by the number (14) 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 14213434210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281797148160).

14213434210304 is an abundant number, since it is smaller than the sum of its proper divisors (22350160086016).

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

14213434210304 is a wasteful number, since it uses less digits than its factorization.

14213434210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47965 (or 47945 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14213434210304 its reverse (40301243431241), we get a palindrome (54514677641545).

The spelling of 14213434210304 in words is "fourteen trillion, two hundred thirteen billion, four hundred thirty-four million, two hundred ten thousand, three hundred four".