130440022432320 has 224 divisors, whose sum is σ = 415739180102400. Its totient is φ = 34650538024960.

The previous prime is 130440022432303. The next prime is 130440022432337. The reversal of 130440022432320 is 23234220044031.

It is an interprime number because it is at equal distance from previous prime (130440022432303) and next prime (130440022432337).

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

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 31 ways as a sum of consecutive naturals, for example, 264847414 + ... + 265339466.

It is an arithmetic number, because the mean of its divisors is an integer number (1855978482600).

Almost surely, 2^{130440022432320} is an apocalyptic number.

130440022432320 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 130440022432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207869590051200).

130440022432320 is an abundant number, since it is smaller than the sum of its proper divisors (285299157670080).

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

130440022432320 is a wasteful number, since it uses less digits than its factorization.

130440022432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493133 (or 493123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 130440022432320 its reverse (23234220044031), we get a palindrome (153674242476351).

The spelling of 130440022432320 in words is "one hundred thirty trillion, four hundred forty billion, twenty-two million, four hundred thirty-two thousand, three hundred twenty".