501378081440 has 96 divisors (see below), whose sum is σ = 1297430401680. Its totient is φ = 182245310464.

The previous prime is 501378081439. The next prime is 501378081467. The reversal of 501378081440 is 44180873105.

It can be written as a sum of positive squares in 8 ways, for example, as 416587630096 + 84790451344 = 645436^2 + 291188^2 .

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 15 ways as a sum of consecutive naturals, for example, 3099227 + ... + 3256986.

Almost surely, 2^501378081440 is an apocalyptic number.

It is an amenable number.

501378081440 is an abundant number, since it is smaller than the sum of its proper divisors (796052320240).

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

501378081440 is a wasteful number, since it uses less digits than its factorization.

501378081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356274 (or 6356266 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 501378081440 in words is "five hundred one billion, three hundred seventy-eight million, eighty-one thousand, four hundred forty".