130040314140 has 288 divisors, whose sum is σ = 423245410560. Its totient is φ = 29726991360.

The previous prime is 130040314081. The next prime is 130040314141. The reversal of 130040314140 is 41413040031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130040314141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31310304 + ... + 31314456.

It is an arithmetic number, because the mean of its divisors is an integer number (1469602120).

Almost surely, 2^130040314140 is an apocalyptic number.

130040314140 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 130040314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211622705280).

130040314140 is an abundant number, since it is smaller than the sum of its proper divisors (293205096420).

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

130040314140 is a wasteful number, since it uses less digits than its factorization.

130040314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 130040314140 its reverse (41413040031), we get a palindrome (171453354171).

The spelling of 130040314140 in words is "one hundred thirty billion, forty million, three hundred fourteen thousand, one hundred forty".