131440444034340 has 192 divisors, whose sum is σ = 429604167573504. Its totient is φ = 29401183913472.

The previous prime is 131440444034329. The next prime is 131440444034353. The reversal of 131440444034340 is 43430444044131.

131440444034340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188109054 + ... + 188806506.

It is an arithmetic number, because the mean of its divisors is an integer number (2237521706112).

Almost surely, 2^{131440444034340} is an apocalyptic number.

131440444034340 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 131440444034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214802083786752).

131440444034340 is an abundant number, since it is smaller than the sum of its proper divisors (298163723539164).

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

131440444034340 is a wasteful number, since it uses less digits than its factorization.

131440444034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707066 (or 707064 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 131440444034340 its reverse (43430444044131), we get a palindrome (174870888078471).

The spelling of 131440444034340 in words is "one hundred thirty-one trillion, four hundred forty billion, four hundred forty-four million, thirty-four thousand, three hundred forty".