131342441104440 has 512 divisors, whose sum is σ = 465395439801600. Its totient is φ = 32834092400640.

The previous prime is 131342441104411. The next prime is 131342441104507. The reversal of 131342441104440 is 44401144243131.

131342441104440 is a `hidden beast` number, since 1 + 3 + 134 + 2 + 441 + 1 + 0 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131342441104395 and 131342441104404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11947819584 + ... + 11947830576.

Almost surely, 2^{131342441104440} is an apocalyptic number.

131342441104440 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 131342441104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232697719900800).

131342441104440 is an abundant number, since it is smaller than the sum of its proper divisors (334052998697160).

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

131342441104440 is a wasteful number, since it uses less digits than its factorization.

131342441104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13544 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131342441104440 its reverse (44401144243131), we get a palindrome (175743585347571).

The spelling of 131342441104440 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred forty-one million, one hundred four thousand, four hundred forty".