504000315301440 has 224 divisors, whose sum is σ = 1608234637484160. Its totient is φ = 133727028019200.

The previous prime is 504000315301361. The next prime is 504000315301487. The reversal of 504000315301440 is 44103513000405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 504000315301398 and 504000315301407.

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 31 ways as a sum of consecutive naturals, for example, 151531480 + ... + 154821800.

It is an arithmetic number, because the mean of its divisors is an integer number (7179618917340).

Almost surely, 2^{504000315301440} 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 504000315301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804117318742080).

504000315301440 is an abundant number, since it is smaller than the sum of its proper divisors (1104234322182720).

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

504000315301440 is a wasteful number, since it uses less digits than its factorization.

504000315301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291141 (or 3291131 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 504000315301440 its reverse (44103513000405), we get a palindrome (548103828301845).

The spelling of 504000315301440 in words is "five hundred four trillion, three hundred fifteen million, three hundred one thousand, four hundred forty".