500414130720 has 432 divisors, whose sum is σ = 2054972588760. Its totient is φ = 110435770368.

The previous prime is 500414130673. The next prime is 500414130721. The reversal of 500414130720 is 27031414005.

500414130720 is a `hidden beast` number, since 50 + 0 + 414 + 130 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321393751056 + 179020379664 = 566916^2 + 423108^2 .

It is not an unprimeable number, because it can be changed into a prime (500414130721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1923964 + ... + 2168516.

Almost surely, 2^500414130720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500414130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027486294380).

500414130720 is an abundant number, since it is smaller than the sum of its proper divisors (1554558458040).

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

500414130720 is a wasteful number, since it uses less digits than its factorization.

500414130720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244617 (or 244599 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 500414130720 its reverse (27031414005), we get a palindrome (527445544725).

The spelling of 500414130720 in words is "five hundred billion, four hundred fourteen million, one hundred thirty thousand, seven hundred twenty".