14411230563840 has 960 divisors, whose sum is σ = 52532967674880. Its totient is φ = 3363718758400.

The previous prime is 14411230563803. The next prime is 14411230563857. The reversal of 14411230563840 is 4836503211441.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 14411230563792 and 14411230563801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15819132985 + ... + 15819133895.

It is an arithmetic number, because the mean of its divisors is an integer number (54721841328).

Almost surely, 2^{14411230563840} is an apocalyptic number.

14411230563840 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 14411230563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266483837440).

14411230563840 is an abundant number, since it is smaller than the sum of its proper divisors (38121737111040).

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

14411230563840 is a wasteful number, since it uses less digits than its factorization.

14411230563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14411230563840 in words is "fourteen trillion, four hundred eleven billion, two hundred thirty million, five hundred sixty-three thousand, eight hundred forty".