504343125440 has 448 divisors, whose sum is σ = 1542951244800. Its totient is φ = 152452300800.

The previous prime is 504343125421. The next prime is 504343125457. The reversal of 504343125440 is 44521343405.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×504343125440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 504343125440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180831566 + ... + 180834354.

It is an arithmetic number, because the mean of its divisors is an integer number (3444087600).

Almost surely, 2^504343125440 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 504343125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771475622400).

504343125440 is an abundant number, since it is smaller than the sum of its proper divisors (1038608119360).

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

504343125440 is a wasteful number, since it uses less digits than its factorization.

504343125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 504343125440 its reverse (44521343405), we get a palindrome (548864468845).

The spelling of 504343125440 in words is "five hundred four billion, three hundred forty-three million, one hundred twenty-five thousand, four hundred forty".