130414324110400 has 168 divisors, whose sum is σ = 365294131268544. Its totient is φ = 45361503897600.

The previous prime is 130414324110347. The next prime is 130414324110401. The reversal of 130414324110400 is 4011423414031.

130414324110400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130414324110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160680087 + ... + 161489686.

Almost surely, 2^{130414324110400} is an apocalyptic number.

130414324110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130414324110400 is an abundant number, since it is smaller than the sum of its proper divisors (234879807158144).

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

130414324110400 is a wasteful number, since it uses less digits than its factorization.

130414324110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322169829 (or 322169814 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 130414324110400 its reverse (4011423414031), we get a palindrome (134425747524431).

The spelling of 130414324110400 in words is "one hundred thirty trillion, four hundred fourteen billion, three hundred twenty-four million, one hundred ten thousand, four hundred".