130402730304 has 448 divisors, whose sum is σ = 481781022720. Its totient is φ = 33599784960.

The previous prime is 130402730291. The next prime is 130402730357. The reversal of 130402730304 is 403037204031.

130402730304 is a `hidden beast` number, since 1 + 304 + 0 + 27 + 30 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16894254 + ... + 16901970.

Almost surely, 2^130402730304 is an apocalyptic number.

130402730304 is a gapful number since it is divisible by the number (14) 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 130402730304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240890511360).

130402730304 is an abundant number, since it is smaller than the sum of its proper divisors (351378292416).

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

130402730304 is a wasteful number, since it uses less digits than its factorization.

130402730304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 130402730304 its reverse (403037204031), we get a palindrome (533439934335).

It can be divided in two parts, 1304027 and 30304, that added together give a palindrome (1334331).

The spelling of 130402730304 in words is "one hundred thirty billion, four hundred two million, seven hundred thirty thousand, three hundred four".