503123322240 has 1280 divisors, whose sum is σ = 2253692643840. Its totient is φ = 103912243200.

The previous prime is 503123322227. The next prime is 503123322257. The reversal of 503123322240 is 42223321305.

503123322240 is a `hidden beast` number, since 5 + 0 + 312 + 3 + 322 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 961994619 + ... + 961995141.

It is an arithmetic number, because the mean of its divisors is an integer number (1760697378).

Almost surely, 2^503123322240 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 503123322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126846321920).

503123322240 is an abundant number, since it is smaller than the sum of its proper divisors (1750569321600).

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

503123322240 is a wasteful number, since it uses less digits than its factorization.

503123322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 503123322240 its reverse (42223321305), we get a palindrome (545346643545).

The spelling of 503123322240 in words is "five hundred three billion, one hundred twenty-three million, three hundred twenty-two thousand, two hundred forty".