505105223225440 has 96 divisors (see below), whose sum is σ = 1231963236967680. Its totient is φ = 195499484928000.

The previous prime is 505105223225357. The next prime is 505105223225453. The reversal of 505105223225440 is 44522322501505.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 505105223225393 and 505105223225402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32096290 + ... + 45170590.

It is an arithmetic number, because the mean of its divisors is an integer number (12832950385080).

Almost surely, 2^{505105223225440} 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 505105223225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615981618483840).

505105223225440 is an abundant number, since it is smaller than the sum of its proper divisors (726858013742240).

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

505105223225440 is a wasteful number, since it uses less digits than its factorization.

505105223225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082136 (or 13082128 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 505105223225440 its reverse (44522322501505), we get a palindrome (549627545726945).

The spelling of 505105223225440 in words is "five hundred five trillion, one hundred five billion, two hundred twenty-three million, two hundred twenty-five thousand, four hundred forty".