508985020440 has 768 divisors, whose sum is σ = 1951887974400. Its totient is φ = 113882775552.

The previous prime is 508985020421. The next prime is 508985020471. The reversal of 508985020440 is 44020589805.

508985020440 is a `hidden beast` number, since 50 + 8 + 98 + 50 + 20 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295405419 + ... + 295407141.

It is an arithmetic number, because the mean of its divisors is an integer number (2541520800).

Almost surely, 2^508985020440 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 508985020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975943987200).

508985020440 is an abundant number, since it is smaller than the sum of its proper divisors (1442902953960).

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

508985020440 is a wasteful number, since it uses less digits than its factorization.

508985020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 508985020440 in words is "five hundred eight billion, nine hundred eighty-five million, twenty thousand, four hundred forty".