13989417584640 has 192 divisors, whose sum is σ = 44859089882880. Its totient is φ = 3721852354560.

The previous prime is 13989417584629. The next prime is 13989417584647. The reversal of 13989417584640 is 4648571498931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13989417584647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12712032 + ... + 13768608.

It is an arithmetic number, because the mean of its divisors is an integer number (233641093140).

Almost surely, 2^{13989417584640} is an apocalyptic number.

13989417584640 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 13989417584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429544941440).

13989417584640 is an abundant number, since it is smaller than the sum of its proper divisors (30869672298240).

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

13989417584640 is a wasteful number, since it uses less digits than its factorization.

13989417584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057038 (or 1057018 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 13989417584640 in words is "thirteen trillion, nine hundred eighty-nine billion, four hundred seventeen million, five hundred eighty-four thousand, six hundred forty".