509438730240 has 1344 divisors, whose sum is σ = 2058312936960. Its totient is φ = 120872632320.

The previous prime is 509438730131. The next prime is 509438730263. The reversal of 509438730240 is 42037834905.

509438730240 is a `hidden beast` number, since 509 + 4 + 38 + 73 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10839121897 + ... + 10839121943.

It is an arithmetic number, because the mean of its divisors is an integer number (1531482840).

Almost surely, 2^509438730240 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 509438730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029156468480).

509438730240 is an abundant number, since it is smaller than the sum of its proper divisors (1548874206720).

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

509438730240 is an frugal number, since it uses more digits than its factorization.

509438730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 509438730240 in words is "five hundred nine billion, four hundred thirty-eight million, seven hundred thirty thousand, two hundred forty".