13971179971840 has 576 divisors, whose sum is σ = 42023862429696. Its totient is φ = 4332165267456.

The previous prime is 13971179971831. The next prime is 13971179971841. The reversal of 13971179971840 is 4817997117931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13971179971841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6772262649 + ... + 6772264711.

It is an arithmetic number, because the mean of its divisors is an integer number (72958094496).

Almost surely, 2^{13971179971840} is an apocalyptic number.

13971179971840 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 13971179971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011931214848).

13971179971840 is an abundant number, since it is smaller than the sum of its proper divisors (28052682457856).

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

13971179971840 is a wasteful number, since it uses less digits than its factorization.

13971179971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 67.

The spelling of 13971179971840 in words is "thirteen trillion, nine hundred seventy-one billion, one hundred seventy-nine million, nine hundred seventy-one thousand, eight hundred forty".