130404443133420 has 288 divisors, whose sum is σ = 405206637308928. Its totient is φ = 33931115053056.

The previous prime is 130404443133361. The next prime is 130404443133617. The reversal of 130404443133420 is 24331344404031.

130404443133420 is a `hidden beast` number, since 1 + 3 + 0 + 40 + 4 + 443 + 133 + 42 + 0 = 666.

It is a super-3 number, since 3×130404443133420³ (a number of 43 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4555281147 + ... + 4555309773.

It is an arithmetic number, because the mean of its divisors is an integer number (1406967490656).

Almost surely, 2^{130404443133420} is an apocalyptic number.

130404443133420 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 130404443133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202603318654464).

130404443133420 is an abundant number, since it is smaller than the sum of its proper divisors (274802194175508).

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

130404443133420 is a wasteful number, since it uses less digits than its factorization.

130404443133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30309 (or 30304 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 130404443133420 its reverse (24331344404031), we get a palindrome (154735787537451).

The spelling of 130404443133420 in words is "one hundred thirty trillion, four hundred four billion, four hundred forty-three million, one hundred thirty-three thousand, four hundred twenty".