13941607680000 has 5760 divisors, whose sum is σ = 71917938892800. Its totient is φ = 2587852800000.

The previous prime is 13941607679983. The next prime is 13941607680001. The reversal of 13941607680000 is 8670614931.

It is a happy number.

13941607680000 is a `hidden beast` number, since 1 + 39 + 4 + 1 + 607 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13941607680001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 449729279985 + ... + 449729280015.

It is an arithmetic number, because the mean of its divisors is an integer number (12485753280).

Almost surely, 2^{13941607680000} is an apocalyptic number.

13941607680000 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 13941607680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35958969446400).

13941607680000 is an abundant number, since it is smaller than the sum of its proper divisors (57976331212800).

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

13941607680000 is a wasteful number, since it uses less digits than its factorization.

13941607680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13941607680000 in words is "thirteen trillion, nine hundred forty-one billion, six hundred seven million, six hundred eighty thousand".