130290353670400 has 2187 divisors, whose sum is σ = 442082037378177. Its totient is φ = 37870505164800.

The previous prime is 130290353670361. The next prime is 130290353670403. The reversal of 130290353670400 is 4076353092031.

It is a happy number.

The square root of 130290353670400 is 11414480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22579831326976 + 107710522343424 = 4751824^2 + 10378368^2 .

It is not an unprimeable number, because it can be changed into a prime (130290353670403) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1195324345546 + ... + 1195324345654.

Almost surely, 2^{130290353670400} is an apocalyptic number.

130290353670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130290353670400 is the 11414480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130290353670400

130290353670400 is an abundant number, since it is smaller than the sum of its proper divisors (311791683707777).

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

130290353670400 is a wasteful number, since it uses less digits than its factorization.

130290353670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 130290353670400 in words is "one hundred thirty trillion, two hundred ninety billion, three hundred fifty-three million, six hundred seventy thousand, four hundred".