130349606400 has 1200 divisors, whose sum is σ = 547962584400. Its totient is φ = 30337597440.

The previous prime is 130349606383. The next prime is 130349606411. The reversal of 130349606400 is 4606943031.

130349606400 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 9 + 6 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×130349606400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 256089346 + ... + 256089854.

It is an arithmetic number, because the mean of its divisors is an integer number (456635487).

Almost surely, 2^130349606400 is an apocalyptic number.

130349606400 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 130349606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273981292200).

130349606400 is an abundant number, since it is smaller than the sum of its proper divisors (417612978000).

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

130349606400 is a wasteful number, since it uses less digits than its factorization.

130349606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 130349606400 in words is "one hundred thirty billion, three hundred forty-nine million, six hundred six thousand, four hundred".