518133040040 has 384 divisors, whose sum is σ = 1618080468480. Its totient is φ = 145383997440.

The previous prime is 518133039973. The next prime is 518133040079. The reversal of 518133040040 is 40040331815.

It is a junction number, because it is equal to n+sod(n) for n = 518133039985 and 518133040012.

It is an unprimeable number.

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, 13227524 + ... + 13266636.

It is an arithmetic number, because the mean of its divisors is an integer number (4213751220).

Almost surely, 2^518133040040 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 518133040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809040234240).

518133040040 is an abundant number, since it is smaller than the sum of its proper divisors (1099947428440).

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

518133040040 is a wasteful number, since it uses less digits than its factorization.

518133040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39193 (or 39178 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 518133040040 its reverse (40040331815), we get a palindrome (558173371855).

The spelling of 518133040040 in words is "five hundred eighteen billion, one hundred thirty-three million, forty thousand, forty".