14004232342400 has 192 divisors, whose sum is σ = 36057525504000. Its totient is φ = 5368358246400.

The previous prime is 14004232342393. The next prime is 14004232342423. The reversal of 14004232342400 is 424323240041.

It is a super-2 number, since 2×14004232342400² (a number of 27 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, 9532301 + ... + 10902899.

It is an arithmetic number, because the mean of its divisors is an integer number (187799612000).

Almost surely, 2^{14004232342400} is an apocalyptic number.

14004232342400 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 14004232342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028762752000).

14004232342400 is an abundant number, since it is smaller than the sum of its proper divisors (22053293161600).

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

14004232342400 is a wasteful number, since it uses less digits than its factorization.

14004232342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370757 (or 1370740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 14004232342400 its reverse (424323240041), we get a palindrome (14428555582441).

The spelling of 14004232342400 in words is "fourteen trillion, four billion, two hundred thirty-two million, three hundred forty-two thousand, four hundred".