6129230400 has 126 divisors (see below), whose sum is σ = 21784783202. Its totient is φ = 1634457600.

The previous prime is 6129230383. The next prime is 6129230411. The reversal of 6129230400 is 40329216.

6129230400 is a `hidden beast` number, since 6 + 1 + 29 + 230 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 650862144 + 5478368256 = 25512^2 + 74016^2 .

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 17 ways as a sum of consecutive naturals, for example, 198421 + ... + 227220.

Almost surely, 2^6129230400 is an apocalyptic number.

6129230400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6129230400 is an abundant number, since it is smaller than the sum of its proper divisors (15655552802).

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

6129230400 is a wasteful number, since it uses less digits than its factorization.

6129230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425669 (or 425651 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6129230400 is about 78289.4015815679. The cubic root of 6129230400 is about 1830.0739914542.

Adding to 6129230400 its reverse (40329216), we get a palindrome (6169559616).

The spelling of 6129230400 in words is "six billion, one hundred twenty-nine million, two hundred thirty thousand, four hundred".