130409330688 has 864 divisors, whose sum is σ = 489387225600. Its totient is φ = 33120976896.

The previous prime is 130409330687. The next prime is 130409330699. The reversal of 130409330688 is 886033904031.

130409330688 is a `hidden beast` number, since 1 + 304 + 0 + 9 + 330 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130409330687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340494145 + ... + 340494527.

It is an arithmetic number, because the mean of its divisors is an integer number (566420400).

Almost surely, 2^130409330688 is an apocalyptic number.

130409330688 is a gapful number since it is divisible by the number (18) 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 130409330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693612800).

130409330688 is an abundant number, since it is smaller than the sum of its proper divisors (358977894912).

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

130409330688 is a wasteful number, since it uses less digits than its factorization.

130409330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 130409330688 in words is "one hundred thirty billion, four hundred nine million, three hundred thirty thousand, six hundred eighty-eight".