13971666240000 has 3200 divisors, whose sum is σ = 63618419589120. Its totient is φ = 2954133504000.

The previous prime is 13971666239939. The next prime is 13971666240011. The reversal of 13971666240000 is 4266617931.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110013119937 + ... + 110013120063.

Almost surely, 2^{13971666240000} is an apocalyptic number.

13971666240000 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 13971666240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31809209794560).

13971666240000 is an abundant number, since it is smaller than the sum of its proper divisors (49646753349120).

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

13971666240000 is a wasteful number, since it uses less digits than its factorization.

13971666240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13971666240000 in words is "thirteen trillion, nine hundred seventy-one billion, six hundred sixty-six million, two hundred forty thousand".