131342440244400 has 1440 divisors, whose sum is σ = 600368245401600. Its totient is φ = 25790104166400.

The previous prime is 131342440244299. The next prime is 131342440244417. The reversal of 131342440244400 is 4442044243131.

131342440244400 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 2 + 4 + 4 + 0 + 244 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 377649786 + ... + 377997414.

It is an arithmetic number, because the mean of its divisors is an integer number (416922392640).

Almost surely, 2^{131342440244400} is an apocalyptic number.

131342440244400 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 131342440244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300184122700800).

131342440244400 is an abundant number, since it is smaller than the sum of its proper divisors (469025805157200).

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

131342440244400 is a wasteful number, since it uses less digits than its factorization.

131342440244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347747 (or 347733 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 131342440244400 its reverse (4442044243131), we get a palindrome (135784484487531).

The spelling of 131342440244400 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred forty million, two hundred forty-four thousand, four hundred".