14124124003440 has 320 divisors, whose sum is σ = 49158627217920. Its totient is φ = 3325065031680.

The previous prime is 14124124003433. The next prime is 14124124003441. The reversal of 14124124003440 is 4430042142141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14124124003398 and 14124124003407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124124003441) 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, 19279366 + ... + 19998554.

It is an arithmetic number, because the mean of its divisors is an integer number (153620710056).

Almost surely, 2^{14124124003440} is an apocalyptic number.

14124124003440 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 14124124003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579313608960).

14124124003440 is an abundant number, since it is smaller than the sum of its proper divisors (35034503214480).

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

14124124003440 is a wasteful number, since it uses less digits than its factorization.

14124124003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719432 (or 719426 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14124124003440 its reverse (4430042142141), we get a palindrome (18554166145581).

The spelling of 14124124003440 in words is "fourteen trillion, one hundred twenty-four billion, one hundred twenty-four million, three thousand, four hundred forty".