130400332400 has 360 divisors, whose sum is σ = 348715225440. Its totient is φ = 46824960000.

The previous prime is 130400332399. The next prime is 130400332409. The reversal of 130400332400 is 4233004031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400332409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484759466 + ... + 484759734.

It is an arithmetic number, because the mean of its divisors is an integer number (968653404).

Almost surely, 2^130400332400 is an apocalyptic number.

130400332400 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 130400332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174357612720).

130400332400 is an abundant number, since it is smaller than the sum of its proper divisors (218314893040).

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

130400332400 is a wasteful number, since it uses less digits than its factorization.

130400332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 130400332400 its reverse (4233004031), we get a palindrome (134633336431).

The spelling of 130400332400 in words is "one hundred thirty billion, four hundred million, three hundred thirty-two thousand, four hundred".