505440115320504 has 384 divisors, whose sum is σ = 1692084421601280. Its totient is φ = 124397176780800.

The previous prime is 505440115320473. The next prime is 505440115320509. The reversal of 505440115320504 is 405023511044505.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505440115320509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3113232 + ... + 31946399.

It is an arithmetic number, because the mean of its divisors is an integer number (4406469847920).

Almost surely, 2^{505440115320504} 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 505440115320504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846042210800640).

505440115320504 is an abundant number, since it is smaller than the sum of its proper divisors (1186644306280776).

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

505440115320504 is a wasteful number, since it uses less digits than its factorization.

505440115320504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35059731 (or 35059720 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 505440115320504 in words is "five hundred five trillion, four hundred forty billion, one hundred fifteen million, three hundred twenty thousand, five hundred four".