505153727440 has 40 divisors (see below), whose sum is σ = 1174553752320. Its totient is φ = 202049218176.

The previous prime is 505153727413. The next prime is 505153727471. The reversal of 505153727440 is 44727351505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1195977 + ... + 1562263.

It is an arithmetic number, because the mean of its divisors is an integer number (29363843808).

Almost surely, 2^505153727440 is an apocalyptic number.

It is an amenable number.

505153727440 is an abundant number, since it is smaller than the sum of its proper divisors (669400024880).

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

505153727440 is a wasteful number, since it uses less digits than its factorization.

505153727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383539 (or 383533 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 43.

The spelling of 505153727440 in words is "five hundred five billion, one hundred fifty-three million, seven hundred twenty-seven thousand, four hundred forty".