130240440 has 256 divisors, whose sum is σ = 499392000. Its totient is φ = 29859840.

The previous prime is 130240433. The next prime is 130240441. The reversal of 130240440 is 44042031.

It is a super-2 number, since 2×130240440² = 33925144422787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130240441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225432 + ... + 226008.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^130240440 is an apocalyptic number.

130240440 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 130240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

130240440 is an abundant number, since it is smaller than the sum of its proper divisors (369151560).

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

130240440 is a wasteful number, since it uses less digits than its factorization.

130240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130240440 is about 11412.2933716234. The cubic root of 130240440 is about 506.8918224436.

Adding to 130240440 its reverse (44042031), we get a palindrome (174282471).

The spelling of 130240440 in words is "one hundred thirty million, two hundred forty thousand, four hundred forty".