14410621680 has 240 divisors, whose sum is σ = 55964480544. Its totient is φ = 3040450560.

The previous prime is 14410621669. The next prime is 14410621711. The reversal of 14410621680 is 8612601441.

14410621680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 105750 + ... + 200010.

Almost surely, 2^14410621680 is an apocalyptic number.

14410621680 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 14410621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982240272).

14410621680 is an abundant number, since it is smaller than the sum of its proper divisors (41553858864).

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

14410621680 is a wasteful number, since it uses less digits than its factorization.

14410621680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94304 (or 94291 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 14410621680 in words is "fourteen billion, four hundred ten million, six hundred twenty-one thousand, six hundred eighty".