130430139840 has 1680 divisors, whose sum is σ = 629035974336. Its totient is φ = 24962826240.

The previous prime is 130430139817. The next prime is 130430139869. The reversal of 130430139840 is 48931034031.

130430139840 is a `hidden beast` number, since 1 + 304 + 301 + 3 + 9 + 8 + 40 = 666.

130430139840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130430139795 and 130430139804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 285404892 + ... + 285405348.

Almost surely, 2^130430139840 is an apocalyptic number.

130430139840 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 130430139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314517987168).

130430139840 is an abundant number, since it is smaller than the sum of its proper divisors (498605834496).

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

130430139840 is a wasteful number, since it uses less digits than its factorization.

130430139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 130430139840 in words is "one hundred thirty billion, four hundred thirty million, one hundred thirty-nine thousand, eight hundred forty".