130405440 has 224 divisors, whose sum is σ = 462174336. Its totient is φ = 30883840.

The previous prime is 130405433. The next prime is 130405447. The reversal of 130405440 is 44504031.

It is an interprime number because it is at equal distance from previous prime (130405433) and next prime (130405447).

It is not an unprimeable number, because it can be changed into a prime (130405447) 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, 559564 + ... + 559796.

Almost surely, 2^130405440 is an apocalyptic number.

130405440 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 130405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231087168).

130405440 is an abundant number, since it is smaller than the sum of its proper divisors (331768896).

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

130405440 is a wasteful number, since it uses less digits than its factorization.

130405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 130405440 is about 11419.5201300230. The cubic root of 130405440 is about 507.1057904347.

Adding to 130405440 its reverse (44504031), we get a palindrome (174909471).

The spelling of 130405440 in words is "one hundred thirty million, four hundred five thousand, four hundred forty".