130310440 has 64 divisors (see below), whose sum is σ = 334348560. Its totient is φ = 45281280.

The previous prime is 130310437. The next prime is 130310443. The reversal of 130310440 is 44013031.

It is an interprime number because it is at equal distance from previous prime (130310437) and next prime (130310443).

It can be written as a sum of positive squares in 8 ways, for example, as 89529444 + 40780996 = 9462^2 + 6386^2 .

It is not an unprimeable number, because it can be changed into a prime (130310443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470 + ... + 16210.

Almost surely, 2^130310440 is an apocalyptic number.

130310440 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 130310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174280).

130310440 is an abundant number, since it is smaller than the sum of its proper divisors (204038120).

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

130310440 is a wasteful number, since it uses less digits than its factorization.

130310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14782 (or 14778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130310440 is about 11415.3598278810. The cubic root of 130310440 is about 506.9826188010.

Adding to 130310440 its reverse (44013031), we get a palindrome (174323471).

The spelling of 130310440 in words is "one hundred thirty million, three hundred ten thousand, four hundred forty".