503423706240 has 768 divisors, whose sum is σ = 2146200376320. Its totient is φ = 105886973952.

The previous prime is 503423706239. The next prime is 503423706251. The reversal of 503423706240 is 42607324305.

503423706240 is a `hidden beast` number, since 5 + 0 + 3 + 4 + 23 + 7 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 503423706195 and 503423706204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192365412 + ... + 192368028.

It is an arithmetic number, because the mean of its divisors is an integer number (2794531740).

Almost surely, 2^503423706240 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 503423706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073100188160).

503423706240 is an abundant number, since it is smaller than the sum of its proper divisors (1642776670080).

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

503423706240 is a wasteful number, since it uses less digits than its factorization.

503423706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 503423706240 in words is "five hundred three billion, four hundred twenty-three million, seven hundred six thousand, two hundred forty".