503305440000 has 1440 divisors, whose sum is σ = 1999924819200. Its totient is φ = 110960640000.

The previous prime is 503305439993. The next prime is 503305440007. The reversal of 503305440000 is 44503305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (503305439993) and next prime (503305440007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (503305440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2909279914 + ... + 2909280086.

It is an arithmetic number, because the mean of its divisors is an integer number (1388836680).

Almost surely, 2^503305440000 is an apocalyptic number.

503305440000 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 503305440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999962409600).

503305440000 is an abundant number, since it is smaller than the sum of its proper divisors (1496619379200).

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

503305440000 is a wasteful number, since it uses less digits than its factorization.

503305440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 503305440000 its reverse (44503305), we get a palindrome (503349943305).

The spelling of 503305440000 in words is "five hundred three billion, three hundred five million, four hundred forty thousand".