131041440791424 has 192 divisors, whose sum is σ = 382733404560000. Its totient is φ = 43026299053056.

The previous prime is 131041440791413. The next prime is 131041440791431. The reversal of 131041440791424 is 424197044140131.

131041440791424 is a `hidden beast` number, since 1 + 3 + 10 + 4 + 144 + 0 + 79 + 1 + 424 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131041440791424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2195005927 + ... + 2195065625.

It is an arithmetic number, because the mean of its divisors is an integer number (1993403148750).

Almost surely, 2^{131041440791424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041440791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191366702280000).

131041440791424 is an abundant number, since it is smaller than the sum of its proper divisors (251691963768576).

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

131041440791424 is a wasteful number, since it uses less digits than its factorization.

131041440791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88225 (or 88210 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 131041440791424 in words is "one hundred thirty-one trillion, forty-one billion, four hundred forty million, seven hundred ninety-one thousand, four hundred twenty-four".