130413431440 has 40 divisors (see below), whose sum is σ = 321047186040. Its totient is φ = 49096820736.

The previous prime is 130413431431. The next prime is 130413431461. The reversal of 130413431440 is 44134314031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67889429136 + 62524002304 = 260556^2 + 250048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 130413431399 and 130413431408.

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 7 ways as a sum of consecutive naturals, for example, 47944755 + ... + 47947474.

It is an arithmetic number, because the mean of its divisors is an integer number (8026179651).

Almost surely, 2^130413431440 is an apocalyptic number.

130413431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130413431440 is an abundant number, since it is smaller than the sum of its proper divisors (190633754600).

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

130413431440 is a wasteful number, since it uses less digits than its factorization.

130413431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95892259 (or 95892253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130413431440 its reverse (44134314031), we get a palindrome (174547745471).

The spelling of 130413431440 in words is "one hundred thirty billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred forty".