130461674400 has 432 divisors, whose sum is σ = 478531872000. Its totient is φ = 33415649280.

The previous prime is 130461674359. The next prime is 130461674411. The reversal of 130461674400 is 4476164031.

130461674400 is a `hidden beast` number, since 1 + 30 + 4 + 616 + 7 + 4 + 4 + 0 + 0 = 666.

130461674400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 71 ways as a sum of consecutive naturals, for example, 21042501 + ... + 21048699.

Almost surely, 2^130461674400 is an apocalyptic number.

130461674400 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 130461674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239265936000).

130461674400 is an abundant number, since it is smaller than the sum of its proper divisors (348070197600).

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

130461674400 is a wasteful number, since it uses less digits than its factorization.

130461674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 130461674400 in words is "one hundred thirty billion, four hundred sixty-one million, six hundred seventy-four thousand, four hundred".