500042140416 has 432 divisors, whose sum is σ = 1778602984704. Its totient is φ = 131571081216.

The previous prime is 500042140397. The next prime is 500042140439. The reversal of 500042140416 is 614041240005.

500042140416 is a `hidden beast` number, since 500 + 0 + 4 + 2 + 140 + 4 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 500042140416.

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 47 ways as a sum of consecutive naturals, for example, 97910535 + ... + 97915641.

Almost surely, 2^500042140416 is an apocalyptic number.

500042140416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500042140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889301492352).

500042140416 is an abundant number, since it is smaller than the sum of its proper divisors (1278560844288).

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

500042140416 is a wasteful number, since it uses less digits than its factorization.

500042140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 500042140416 in words is "five hundred billion, forty-two million, one hundred forty thousand, four hundred sixteen".