505404224031040 has 336 divisors, whose sum is σ = 1313902587856320. Its totient is φ = 185024016875520.

The previous prime is 505404224031019. The next prime is 505404224031071. The reversal of 505404224031040 is 40130422404505.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 505404224030987 and 505404224031005.

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, 1163828671 + ... + 1164262849.

It is an arithmetic number, because the mean of its divisors is an integer number (3910424368620).

Almost surely, 2^{505404224031040} 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 505404224031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656951293928160).

505404224031040 is an abundant number, since it is smaller than the sum of its proper divisors (808498363825280).

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

505404224031040 is a wasteful number, since it uses less digits than its factorization.

505404224031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434578 (or 434551 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 505404224031040 its reverse (40130422404505), we get a palindrome (545534646435545).

The spelling of 505404224031040 in words is "five hundred five trillion, four hundred four billion, two hundred twenty-four million, thirty-one thousand, forty".