503112402400 has 288 divisors, whose sum is σ = 1331858505600. Its totient is φ = 184858705920.

The previous prime is 503112402379. The next prime is 503112402421. The reversal of 503112402400 is 4204211305.

It is an interprime number because it is at equal distance from previous prime (503112402379) and next prime (503112402421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286999924 + ... + 287001676.

It is an arithmetic number, because the mean of its divisors is an integer number (4624508700).

Almost surely, 2^503112402400 is an apocalyptic number.

503112402400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503112402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665929252800).

503112402400 is an abundant number, since it is smaller than the sum of its proper divisors (828746103200).

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

503112402400 is a wasteful number, since it uses less digits than its factorization.

503112402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 503112402400 its reverse (4204211305), we get a palindrome (507316613705).

The spelling of 503112402400 in words is "five hundred three billion, one hundred twelve million, four hundred two thousand, four hundred".