505410040240 has 160 divisors (see below), whose sum is σ = 1367951016960. Its totient is φ = 170086874112.

The previous prime is 505410040181. The next prime is 505410040243. The reversal of 505410040240 is 42040014505.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (505410040243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6492589 + ... + 6569971.

It is an arithmetic number, because the mean of its divisors is an integer number (8549693856).

Almost surely, 2^505410040240 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 505410040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683975508480).

505410040240 is an abundant number, since it is smaller than the sum of its proper divisors (862540976720).

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

505410040240 is a wasteful number, since it uses less digits than its factorization.

505410040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77619 (or 77613 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 505410040240 its reverse (42040014505), we get a palindrome (547450054745).

The spelling of 505410040240 in words is "five hundred five billion, four hundred ten million, forty thousand, two hundred forty".