508909479661440 has 3072 divisors, whose sum is σ = 2206950671278080. Its totient is φ = 110397800448000.

The previous prime is 508909479661433. The next prime is 508909479661469. The reversal of 508909479661440 is 44166974909805.

508909479661440 is a `hidden beast` number, since 5 + 0 + 8 + 9 + 0 + 9 + 479 + 6 + 6 + 144 + 0 = 666.

It is a super-2 number, since 2×508909479661440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 260845452465 + ... + 260845454415.

It is an arithmetic number, because the mean of its divisors is an integer number (718408421640).

Almost surely, 2^{508909479661440} 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 508909479661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103475335639040).

508909479661440 is an abundant number, since it is smaller than the sum of its proper divisors (1698041191616640).

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

508909479661440 is a wasteful number, since it uses less digits than its factorization.

508909479661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 508909479661440 in words is "five hundred eight trillion, nine hundred nine billion, four hundred seventy-nine million, six hundred sixty-one thousand, four hundred forty".