503440414340000 has 240 divisors, whose sum is σ = 1316128688011368. Its totient is φ = 188846247936000.

The previous prime is 503440414339969. The next prime is 503440414340033. The reversal of 503440414340000 is 43414044305.

It can be written as a sum of positive squares in 20 ways, for example, as 49917220604944 + 453523193735056 = 7065212^2 + 21296084^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91507244 + ... + 96852756.

Almost surely, 2^{503440414340000} is an apocalyptic number.

503440414340000 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 503440414340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658064344005684).

503440414340000 is an abundant number, since it is smaller than the sum of its proper divisors (812688273671368).

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

503440414340000 is a wasteful number, since it uses less digits than its factorization.

503440414340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345837 (or 5345814 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 503440414340000 its reverse (43414044305), we get a palindrome (503483828384305).

The spelling of 503440414340000 in words is "five hundred three trillion, four hundred forty billion, four hundred fourteen million, three hundred forty thousand".