130343504400 has 240 divisors, whose sum is σ = 479924937600. Its totient is φ = 33559626240.

The previous prime is 130343504387. The next prime is 130343504471. The reversal of 130343504400 is 4405343031.

130343504400 is a `hidden beast` number, since 1 + 303 + 4 + 350 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105117 + ... + 521283.

It is an arithmetic number, because the mean of its divisors is an integer number (1999687240).

Almost surely, 2^130343504400 is an apocalyptic number.

130343504400 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 130343504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239962468800).

130343504400 is an abundant number, since it is smaller than the sum of its proper divisors (349581433200).

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

130343504400 is a wasteful number, since it uses less digits than its factorization.

130343504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416223 (or 416206 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 130343504400 its reverse (4405343031), we get a palindrome (134748847431).

The spelling of 130343504400 in words is "one hundred thirty billion, three hundred forty-three million, five hundred four thousand, four hundred".