506340644004240 has 320 divisors, whose sum is σ = 1670741865676800. Its totient is φ = 126587892068352.

The previous prime is 506340644004227. The next prime is 506340644004259. The reversal of 506340644004240 is 42400446043605.

It is a happy number.

It is a super-2 number, since 2×506340644004240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506340644004192 and 506340644004201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55505301 + ... + 63980619.

It is an arithmetic number, because the mean of its divisors is an integer number (5221068330240).

Almost surely, 2^{506340644004240} 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 506340644004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835370932838400).

506340644004240 is an abundant number, since it is smaller than the sum of its proper divisors (1164401221672560).

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

506340644004240 is a wasteful number, since it uses less digits than its factorization.

506340644004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475574 (or 8475568 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 506340644004240 in words is "five hundred six trillion, three hundred forty billion, six hundred forty-four million, four thousand, two hundred forty".