131422424441440 has 192 divisors, whose sum is σ = 350625088800000. Its totient is φ = 46111233710080.

The previous prime is 131422424441431. The next prime is 131422424441443. The reversal of 131422424441440 is 44144424224131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131422424441393 and 131422424441402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131422424441443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75650091 + ... + 77367829.

It is an arithmetic number, because the mean of its divisors is an integer number (1826172337500).

Almost surely, 2^{131422424441440} is an apocalyptic number.

131422424441440 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 131422424441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175312544400000).

131422424441440 is an abundant number, since it is smaller than the sum of its proper divisors (219202664358560).

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

131422424441440 is a wasteful number, since it uses less digits than its factorization.

131422424441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719293 (or 1719285 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

Adding to 131422424441440 its reverse (44144424224131), we get a palindrome (175566848665571).

The spelling of 131422424441440 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred twenty-four million, four hundred forty-one thousand, four hundred forty".