130720909440 has 256 divisors, whose sum is σ = 454951987200. Its totient is φ = 31662059520.

The previous prime is 130720909439. The next prime is 130720909463. The reversal of 130720909440 is 44909027031.

It is a super-2 number, since 2×130720909440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34191369 + ... + 34195191.

It is an arithmetic number, because the mean of its divisors is an integer number (1777156200).

Almost surely, 2^130720909440 is an apocalyptic number.

130720909440 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 130720909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227475993600).

130720909440 is an abundant number, since it is smaller than the sum of its proper divisors (324231077760).

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

130720909440 is a wasteful number, since it uses less digits than its factorization.

130720909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 130720909440 in words is "one hundred thirty billion, seven hundred twenty million, nine hundred nine thousand, four hundred forty".