509038392268420 has 48 divisors (see below), whose sum is σ = 1221693453469440. Its totient is φ = 174527261345664.

The previous prime is 509038392268339. The next prime is 509038392268429. The reversal of 509038392268420 is 24862293830905.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (509038392268429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213428041 + ... + 215799919.

It is an arithmetic number, because the mean of its divisors is an integer number (25451946947280).

Almost surely, 2^{509038392268420} is an apocalyptic number.

It is an amenable number.

509038392268420 is an abundant number, since it is smaller than the sum of its proper divisors (712655061201020).

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

509038392268420 is a wasteful number, since it uses less digits than its factorization.

509038392268420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904852 (or 3904850 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 509038392268420 in words is "five hundred nine trillion, thirty-eight billion, three hundred ninety-two million, two hundred sixty-eight thousand, four hundred twenty".