504434131113140 has 24 divisors (see below), whose sum is σ = 1059535489539240. Its totient is φ = 201731021168768.

The previous prime is 504434131113137. The next prime is 504434131113191. The reversal of 504434131113140 is 41311131434405.

It can be written as a sum of positive squares in 4 ways, for example, as 4795583173924 + 499638547939216 = 2189882^2 + 22352596^2 .

It is a super-3 number, since 3×504434131113140³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 504434131113140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2664357755 + ... + 2664547074.

It is an arithmetic number, because the mean of its divisors is an integer number (44147312064135).

Almost surely, 2^{504434131113140} is an apocalyptic number.

It is an amenable number.

504434131113140 is an abundant number, since it is smaller than the sum of its proper divisors (555101358426100).

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

504434131113140 is a wasteful number, since it uses less digits than its factorization.

504434131113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328909571 (or 5328909569 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 504434131113140 its reverse (41311131434405), we get a palindrome (545745262547545).

The spelling of 504434131113140 in words is "five hundred four trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred forty".