130440224014320 has 320 divisors, whose sum is σ = 448700320627200. Its totient is φ = 31079082885120.

The previous prime is 130440224014279. The next prime is 130440224014367. The reversal of 130440224014320 is 23410422044031.

130440224014320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727776876 + ... + 727956084.

It is an arithmetic number, because the mean of its divisors is an integer number (1402188501960).

Almost surely, 2^{130440224014320} is an apocalyptic number.

130440224014320 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 130440224014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224350160313600).

130440224014320 is an abundant number, since it is smaller than the sum of its proper divisors (318260096612880).

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

130440224014320 is a wasteful number, since it uses less digits than its factorization.

130440224014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183968 (or 183962 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 130440224014320 its reverse (23410422044031), we get a palindrome (153850646058351).

The spelling of 130440224014320 in words is "one hundred thirty trillion, four hundred forty billion, two hundred twenty-four million, fourteen thousand, three hundred twenty".