130405283440 has 80 divisors (see below), whose sum is σ = 312062491008. Its totient is φ = 50642178048.

The previous prime is 130405283389. The next prime is 130405283447. The reversal of 130405283440 is 44382504031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 130405283396 and 130405283405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130405283447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322904 + ... + 1418056.

Almost surely, 2^130405283440 is an apocalyptic number.

130405283440 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 130405283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156031245504).

130405283440 is an abundant number, since it is smaller than the sum of its proper divisors (181657207568).

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

130405283440 is a wasteful number, since it uses less digits than its factorization.

130405283440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95666 (or 95660 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 130405283440 its reverse (44382504031), we get a palindrome (174787787471).

The spelling of 130405283440 in words is "one hundred thirty billion, four hundred five million, two hundred eighty-three thousand, four hundred forty".