504413965440 has 1536 divisors, whose sum is σ = 2341525708800. Its totient is φ = 101374156800.

The previous prime is 504413965361. The next prime is 504413965441. The reversal of 504413965440 is 44569314405.

504413965440 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 13 + 96 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (504413965441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 288730647 + ... + 288732393.

It is an arithmetic number, because the mean of its divisors is an integer number (1524430800).

Almost surely, 2^504413965440 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 504413965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170762854400).

504413965440 is an abundant number, since it is smaller than the sum of its proper divisors (1837111743360).

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

504413965440 is a wasteful number, since it uses less digits than its factorization.

504413965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 504413965 and 440, that added together give a palindrome (504414405).

The spelling of 504413965440 in words is "five hundred four billion, four hundred thirteen million, nine hundred sixty-five thousand, four hundred forty".