130441214432000 has 144 divisors (see below), whose sum is σ = 324967643032032. Its totient is φ = 52172909465600.

The previous prime is 130441214431987. The next prime is 130441214432027. The reversal of 130441214432000 is 234412144031.

130441214432000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 494044022 + ... + 494307978.

It is an arithmetic number, because the mean of its divisors is an integer number (2256719743278).

Almost surely, 2^{130441214432000} is an apocalyptic number.

130441214432000 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 130441214432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162483821516016).

130441214432000 is an abundant number, since it is smaller than the sum of its proper divisors (194526428600032).

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

130441214432000 is an equidigital number, since it uses as much as digits as its factorization.

130441214432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279431 (or 279407 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 130441214432000 its reverse (234412144031), we get a palindrome (130675626576031).

The spelling of 130441214432000 in words is "one hundred thirty trillion, four hundred forty-one billion, two hundred fourteen million, four hundred thirty-two thousand".