130940386241280 has 1152 divisors, whose sum is σ = 544368074342400. Its totient is φ = 26010183598080.

The previous prime is 130940386241263. The next prime is 130940386241281. The reversal of 130940386241280 is 82142683049031.

It is not an unprimeable number, because it can be changed into a prime (130940386241281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14274538774 + ... + 14274547946.

It is an arithmetic number, because the mean of its divisors is an integer number (472541731200).

Almost surely, 2^{130940386241280} is an apocalyptic number.

130940386241280 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 130940386241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272184037171200).

130940386241280 is an abundant number, since it is smaller than the sum of its proper divisors (413427688101120).

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

130940386241280 is a wasteful number, since it uses less digits than its factorization.

130940386241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337 (or 11323 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 130940386241280 in words is "one hundred thirty trillion, nine hundred forty billion, three hundred eighty-six million, two hundred forty-one thousand, two hundred eighty".