14328680209920 has 1920 divisors, whose sum is σ = 57216357918720. Its totient is φ = 3291217920000.

The previous prime is 14328680209853. The next prime is 14328680209967. The reversal of 14328680209920 is 2990208682341.

14328680209920 is a `hidden beast` number, since 1 + 432 + 8 + 6 + 80 + 20 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×14328680209920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46072926565 + ... + 46072926875.

It is an arithmetic number, because the mean of its divisors is an integer number (29800186416).

Almost surely, 2^{14328680209920} is an apocalyptic number.

14328680209920 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 14328680209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28608178959360).

14328680209920 is an abundant number, since it is smaller than the sum of its proper divisors (42887677708800).

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

14328680209920 is a wasteful number, since it uses less digits than its factorization.

14328680209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14328680209920 in words is "fourteen trillion, three hundred twenty-eight billion, six hundred eighty million, two hundred nine thousand, nine hundred twenty".