14111353423440 has 1920 divisors, whose sum is σ = 63528017280000. Its totient is φ = 2781121609728.

The previous prime is 14111353423439. The next prime is 14111353423457. The reversal of 14111353423440 is 4432435311141.

14111353423440 is a `hidden beast` number, since 1 + 4 + 1 + 113 + 534 + 2 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14111353423395 and 14111353423404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4452934176 + ... + 4452937344.

It is an arithmetic number, because the mean of its divisors is an integer number (33087509000).

Almost surely, 2^{14111353423440} is an apocalyptic number.

14111353423440 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 14111353423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31764008640000).

14111353423440 is an abundant number, since it is smaller than the sum of its proper divisors (49416663856560).

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

14111353423440 is a wasteful number, since it uses less digits than its factorization.

14111353423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14111353423440 its reverse (4432435311141), we get a palindrome (18543788734581).

The spelling of 14111353423440 in words is "fourteen trillion, one hundred eleven billion, three hundred fifty-three million, four hundred twenty-three thousand, four hundred forty".