504338667140 has 288 divisors, whose sum is σ = 1427827564800. Its totient is φ = 147457228800.

The previous prime is 504338667137. The next prime is 504338667143. The reversal of 504338667140 is 41766833405.

It is an interprime number because it is at equal distance from previous prime (504338667137) and next prime (504338667143).

It is not an unprimeable number, because it can be changed into a prime (504338667143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56989436 + ... + 56998284.

It is an arithmetic number, because the mean of its divisors is an integer number (4957734600).

Almost surely, 2^504338667140 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 504338667140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713913782400).

504338667140 is an abundant number, since it is smaller than the sum of its proper divisors (923488897660).

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

504338667140 is a wasteful number, since it uses less digits than its factorization.

504338667140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 504338667140 in words is "five hundred four billion, three hundred thirty-eight million, six hundred sixty-seven thousand, one hundred forty".