130440613632 has 288 divisors, whose sum is σ = 403577825280. Its totient is φ = 36632494080.

The previous prime is 130440613631. The next prime is 130440613637. The reversal of 130440613632 is 236316044031.

It is a junction number, because it is equal to n+sod(n) for n = 130440613593 and 130440613602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440613631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119341278 + ... + 119342370.

Almost surely, 2^130440613632 is an apocalyptic number.

130440613632 is a gapful number since it is divisible by the number (12) 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 130440613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201788912640).

130440613632 is an abundant number, since it is smaller than the sum of its proper divisors (273137211648).

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

130440613632 is a wasteful number, since it uses less digits than its factorization.

130440613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 130440613632 its reverse (236316044031), we get a palindrome (366756657663).

The spelling of 130440613632 in words is "one hundred thirty billion, four hundred forty million, six hundred thirteen thousand, six hundred thirty-two".