14222434400412 has 192 divisors, whose sum is σ = 39461216256000. Its totient is φ = 3900761383680.

The previous prime is 14222434400389. The next prime is 14222434400413. The reversal of 14222434400412 is 21400443422241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222434400413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976607043 + ... + 976621605.

It is an arithmetic number, because the mean of its divisors is an integer number (205527168000).

Almost surely, 2^{14222434400412} is an apocalyptic number.

14222434400412 is a gapful number since it is divisible by the number (12) 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 14222434400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730608128000).

14222434400412 is an abundant number, since it is smaller than the sum of its proper divisors (25238781855588).

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

14222434400412 is a wasteful number, since it uses less digits than its factorization.

14222434400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16896 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 14222434400412 its reverse (21400443422241), we get a palindrome (35622877822653).

The spelling of 14222434400412 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-four million, four hundred thousand, four hundred twelve".