130043242400 has 72 divisors (see below), whose sum is σ = 325211271084. Its totient is φ = 50748569600.

The previous prime is 130043242397. The next prime is 130043242487. The reversal of 130043242400 is 4242340031.

It can be written as a sum of positive squares in 6 ways, for example, as 6710231056 + 123333011344 = 81916^2 + 351188^2 .

It is a super-2 number, since 2×130043242400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1949567 + ... + 2015166.

Almost surely, 2^130043242400 is an apocalyptic number.

130043242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130043242400 is an abundant number, since it is smaller than the sum of its proper divisors (195168028684).

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

130043242400 is a wasteful number, since it uses less digits than its factorization.

130043242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964794 (or 3964781 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 130043242400 its reverse (4242340031), we get a palindrome (134285582431).

The spelling of 130043242400 in words is "one hundred thirty billion, forty-three million, two hundred forty-two thousand, four hundred".