503504434135340 has 144 divisors (see below), whose sum is σ = 1175197947833952. Its totient is φ = 181051436544000.

The previous prime is 503504434135331. The next prime is 503504434135357. The reversal of 503504434135340 is 43531434405305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 503504434135291 and 503504434135300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276319835 + ... + 278136045.

It is an arithmetic number, because the mean of its divisors is an integer number (8161096859958).

Almost surely, 2^{503504434135340} 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 503504434135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587598973916976).

503504434135340 is an abundant number, since it is smaller than the sum of its proper divisors (671693513698612).

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

503504434135340 is a wasteful number, since it uses less digits than its factorization.

503504434135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817520 (or 1817507 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 44.

The spelling of 503504434135340 in words is "five hundred three trillion, five hundred four billion, four hundred thirty-four million, one hundred thirty-five thousand, three hundred forty".