503440506000 has 240 divisors, whose sum is σ = 1759256619120. Its totient is φ = 134181580800.

The previous prime is 503440505993. The next prime is 503440506017. The reversal of 503440506000 is 605044305.

503440506000 is a `hidden beast` number, since 5 + 0 + 3 + 4 + 4 + 0 + 50 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125112178944 + 378328327056 = 353712^2 + 615084^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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, 41555944 + ... + 41568056.

It is an arithmetic number, because the mean of its divisors is an integer number (7330235913).

Almost surely, 2^503440506000 is an apocalyptic number.

503440506000 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 503440506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879628309560).

503440506000 is an abundant number, since it is smaller than the sum of its proper divisors (1255816113120).

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

503440506000 is a wasteful number, since it uses less digits than its factorization.

503440506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14451 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 503440506000 in words is "five hundred three billion, four hundred forty million, five hundred six thousand".