506040422112 has 384 divisors, whose sum is σ = 1547726745600. Its totient is φ = 160651911168.

The previous prime is 506040422093. The next prime is 506040422143. The reversal of 506040422112 is 211224040605.

506040422112 is a `hidden beast` number, since 5 + 0 + 604 + 0 + 42 + 2 + 1 + 12 = 666.

It is a super-2 number, since 2×506040422112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1039097133 + ... + 1039097619.

It is an arithmetic number, because the mean of its divisors is an integer number (4030538400).

Almost surely, 2^506040422112 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 506040422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773863372800).

506040422112 is an abundant number, since it is smaller than the sum of its proper divisors (1041686323488).

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

506040422112 is a wasteful number, since it uses less digits than its factorization.

506040422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 506040422112 its reverse (211224040605), we get a palindrome (717264462717).

The spelling of 506040422112 in words is "five hundred six billion, forty million, four hundred twenty-two thousand, one hundred twelve".