130115389934400 has 1344 divisors, whose sum is σ = 495796163681280. Its totient is φ = 29599860326400.

The previous prime is 130115389934339. The next prime is 130115389934417. The reversal of 130115389934400 is 4439983511031.

It is a happy number.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 75604525540 + ... + 75604527260.

It is an arithmetic number, because the mean of its divisors is an integer number (368895955120).

Almost surely, 2^{130115389934400} is an apocalyptic number.

130115389934400 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 130115389934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247898081840640).

130115389934400 is an abundant number, since it is smaller than the sum of its proper divisors (365680773746880).

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

130115389934400 is a wasteful number, since it uses less digits than its factorization.

130115389934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 130115389934400 in words is "one hundred thirty trillion, one hundred fifteen billion, three hundred eighty-nine million, nine hundred thirty-four thousand, four hundred".