14124401333240 has 128 divisors (see below), whose sum is σ = 35247276887040. Its totient is φ = 5050520640000.

The previous prime is 14124401333209. The next prime is 14124401333243. The reversal of 14124401333240 is 4233310442141.

It is a junction number, because it is equal to n+sod(n) for n = 14124401333197 and 14124401333206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124401333243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97383575 + ... + 97528505.

It is an arithmetic number, because the mean of its divisors is an integer number (275369350680).

Almost surely, 2^{14124401333240} is an apocalyptic number.

14124401333240 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 14124401333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623638443520).

14124401333240 is an abundant number, since it is smaller than the sum of its proper divisors (21122875553800).

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

14124401333240 is a wasteful number, since it uses less digits than its factorization.

14124401333240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148645 (or 148641 counting only the distinct ones).

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

Adding to 14124401333240 its reverse (4233310442141), we get a palindrome (18357711775381).

The spelling of 14124401333240 in words is "fourteen trillion, one hundred twenty-four billion, four hundred one million, three hundred thirty-three thousand, two hundred forty".