14042401231200 has 288 divisors, whose sum is σ = 46951200930816. Its totient is φ = 3642825922560.

The previous prime is 14042401231193. The next prime is 14042401231259. The reversal of 14042401231200 is 213210424041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817217809 + ... + 817234991.

It is an arithmetic number, because the mean of its divisors is an integer number (163025003232).

Almost surely, 2^{14042401231200} is an apocalyptic number.

14042401231200 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 14042401231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475600465408).

14042401231200 is an abundant number, since it is smaller than the sum of its proper divisors (32908799699616).

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

14042401231200 is a wasteful number, since it uses less digits than its factorization.

14042401231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26446 (or 26433 counting only the distinct ones).

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

Adding to 14042401231200 its reverse (213210424041), we get a palindrome (14255611655241).

The spelling of 14042401231200 in words is "fourteen trillion, forty-two billion, four hundred one million, two hundred thirty-one thousand, two hundred".