130004114240 has 224 divisors, whose sum is σ = 415650541824. Its totient is φ = 37403688960.

The previous prime is 130004114179. The next prime is 130004114243. The reversal of 130004114240 is 42411400031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130004114243) 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 31 ways as a sum of consecutive naturals, for example, 117392 + ... + 523248.

It is an arithmetic number, because the mean of its divisors is an integer number (1855582776).

Almost surely, 2^130004114240 is an apocalyptic number.

130004114240 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 130004114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207825270912).

130004114240 is an abundant number, since it is smaller than the sum of its proper divisors (285646427584).

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

130004114240 is a wasteful number, since it uses less digits than its factorization.

130004114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405905 (or 405895 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 130004114240 its reverse (42411400031), we get a palindrome (172415514271).

The spelling of 130004114240 in words is "one hundred thirty billion, four million, one hundred fourteen thousand, two hundred forty".