505341212044400 has 120 divisors (see below), whose sum is σ = 1225511532852000. Its totient is φ = 200242459929600.

The previous prime is 505341212044381. The next prime is 505341212044433. The reversal of 505341212044400 is 4440212143505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4367030 + ... + 32089770.

It is an arithmetic number, because the mean of its divisors is an integer number (10212596107100).

Almost surely, 2^{505341212044400} is an apocalyptic number.

505341212044400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505341212044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612755766426000).

505341212044400 is an abundant number, since it is smaller than the sum of its proper divisors (720170320807600).

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

505341212044400 is a wasteful number, since it uses less digits than its factorization.

505341212044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27723187 (or 27723176 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 505341212044400 its reverse (4440212143505), we get a palindrome (509781424187905).

The spelling of 505341212044400 in words is "five hundred five trillion, three hundred forty-one billion, two hundred twelve million, forty-four thousand, four hundred".