504022441152042 has 96 divisors (see below), whose sum is σ = 1142926276652160. Its totient is φ = 166460075784000.

The previous prime is 504022441152017. The next prime is 504022441152047. The reversal of 504022441152042 is 240251144220405.

504022441152042 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 2 + 2 + 441 + 1 + 5 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 504022441151988 and 504022441152006.

It is not an unprimeable number, because it can be changed into a prime (504022441152047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596107667 + ... + 1596423417.

It is an arithmetic number, because the mean of its divisors is an integer number (11905482048460).

Almost surely, 2^{504022441152042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504022441152042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571463138326080).

504022441152042 is an abundant number, since it is smaller than the sum of its proper divisors (638903835500118).

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

504022441152042 is a wasteful number, since it uses less digits than its factorization.

504022441152042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346010 (or 345998 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 504022441152042 its reverse (240251144220405), we get a palindrome (744273585372447).

The spelling of 504022441152042 in words is "five hundred four trillion, twenty-two billion, four hundred forty-one million, one hundred fifty-two thousand, forty-two".