50414077728 has 768 divisors, whose sum is σ = 189684633600. Its totient is φ = 12680478720.

The previous prime is 50414077699. The next prime is 50414077739. The reversal of 50414077728 is 82777041405.

50414077728 is a `hidden beast` number, since 504 + 1 + 4 + 0 + 77 + 72 + 8 = 666.

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 127 ways as a sum of consecutive naturals, for example, 255908926 + ... + 255909122.

It is an arithmetic number, because the mean of its divisors is an integer number (246985200).

Almost surely, 2^50414077728 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 50414077728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94842316800).

50414077728 is an abundant number, since it is smaller than the sum of its proper divisors (139270555872).

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

50414077728 is a wasteful number, since it uses less digits than its factorization.

50414077728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 50414077728 in words is "fifty billion, four hundred fourteen million, seventy-seven thousand, seven hundred twenty-eight".