130204041400 has 144 divisors (see below), whose sum is σ = 308782189800. Its totient is φ = 51054416640.

The previous prime is 130204041379. The next prime is 130204041413. The reversal of 130204041400 is 4140402031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568576486 + ... + 568576714.

Almost surely, 2^130204041400 is an apocalyptic number.

130204041400 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 130204041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154391094900).

130204041400 is an abundant number, since it is smaller than the sum of its proper divisors (178578148400).

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

130204041400 is a wasteful number, since it uses less digits than its factorization.

130204041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 130204041400 its reverse (4140402031), we get a palindrome (134344443431).

The spelling of 130204041400 in words is "one hundred thirty billion, two hundred four million, forty-one thousand, four hundred".