505990717440 has 448 divisors, whose sum is σ = 1763702035200. Its totient is φ = 123117502464.

The previous prime is 505990717439. The next prime is 505990717459. The reversal of 505990717440 is 44717099505.

It is a super-2 number, since 2×505990717440² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 142170381 + ... + 142173939.

It is an arithmetic number, because the mean of its divisors is an integer number (3936834900).

Almost surely, 2^505990717440 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 505990717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881851017600).

505990717440 is an abundant number, since it is smaller than the sum of its proper divisors (1257711317760).

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

505990717440 is a wasteful number, since it uses less digits than its factorization.

505990717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 505990717440 in words is "five hundred five billion, nine hundred ninety million, seven hundred seventeen thousand, four hundred forty".