505412324020344 has 192 divisors, whose sum is σ = 1391483102400000. Its totient is φ = 152865672201216.

The previous prime is 505412324020313. The next prime is 505412324020453. The reversal of 505412324020344 is 443020423214505.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4175554977 + ... + 4175676015.

It is an arithmetic number, because the mean of its divisors is an integer number (7247307825000).

Almost surely, 2^{505412324020344} 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 505412324020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695741551200000).

505412324020344 is an abundant number, since it is smaller than the sum of its proper divisors (886070778379656).

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

505412324020344 is a wasteful number, since it uses less digits than its factorization.

505412324020344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138582 (or 138565 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 505412324020344 its reverse (443020423214505), we get a palindrome (948432747234849).

The spelling of 505412324020344 in words is "five hundred five trillion, four hundred twelve billion, three hundred twenty-four million, twenty thousand, three hundred forty-four".