130430044800 has 1536 divisors, whose sum is σ = 568249344000. Its totient is φ = 28864512000.

The previous prime is 130430044793. The next prime is 130430044817. The reversal of 130430044800 is 8440034031.

It is a Cunningham number, because it is equal to 361151²-1.

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

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 191 ways as a sum of consecutive naturals, for example, 559785484 + ... + 559785716.

It is an arithmetic number, because the mean of its divisors is an integer number (369954000).

Almost surely, 2^130430044800 is an apocalyptic number.

130430044800 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 130430044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284124672000).

130430044800 is an abundant number, since it is smaller than the sum of its proper divisors (437819299200).

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

130430044800 is a wasteful number, since it uses less digits than its factorization.

130430044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130430044800 its reverse (8440034031), we get a palindrome (138870078831).

The spelling of 130430044800 in words is "one hundred thirty billion, four hundred thirty million, forty-four thousand, eight hundred".