131368684440 has 256 divisors, whose sum is σ = 460370304000. Its totient is φ = 29976748032.

The previous prime is 131368684417. The next prime is 131368684523. The reversal of 131368684440 is 44486863131.

It is a super-2 number, since 2×131368684440² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131368684440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28109944 + ... + 28114616.

It is an arithmetic number, because the mean of its divisors is an integer number (1798321500).

Almost surely, 2^131368684440 is an apocalyptic number.

131368684440 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 131368684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230185152000).

131368684440 is an abundant number, since it is smaller than the sum of its proper divisors (329001619560).

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

131368684440 is a wasteful number, since it uses less digits than its factorization.

131368684440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 131368684440 in words is "one hundred thirty-one billion, three hundred sixty-eight million, six hundred eighty-four thousand, four hundred forty".