508301442000 has 240 divisors, whose sum is σ = 1936721666880. Its totient is φ = 123224544000.

The previous prime is 508301441983. The next prime is 508301442001. The reversal of 508301442000 is 244103805.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508301442001) 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 47 ways as a sum of consecutive naturals, for example, 1085590 + ... + 1481589.

It is an arithmetic number, because the mean of its divisors is an integer number (8069673612).

Almost surely, 2^508301442000 is an apocalyptic number.

508301442000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

508301442000 is an abundant number, since it is smaller than the sum of its proper divisors (1428420224880).

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

508301442000 is a wasteful number, since it uses less digits than its factorization.

508301442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567219 (or 2567200 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 508301442000 its reverse (244103805), we get a palindrome (508545545805).

The spelling of 508301442000 in words is "five hundred eight billion, three hundred one million, four hundred forty-two thousand".