14024131401120 has 192 divisors, whose sum is σ = 45615509323776. Its totient is φ = 3617982858240.

The previous prime is 14024131401097. The next prime is 14024131401131. The reversal of 14024131401120 is 2110413142041.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47274697 + ... + 47570423.

It is an arithmetic number, because the mean of its divisors is an integer number (237580777728).

Almost surely, 2^{14024131401120} is an apocalyptic number.

14024131401120 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 14024131401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807754661888).

14024131401120 is an abundant number, since it is smaller than the sum of its proper divisors (31591377922656).

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

14024131401120 is a wasteful number, since it uses less digits than its factorization.

14024131401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298963 (or 298955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14024131401120 its reverse (2110413142041), we get a palindrome (16134544543161).

The spelling of 14024131401120 in words is "fourteen trillion, twenty-four billion, one hundred thirty-one million, four hundred one thousand, one hundred twenty".