50412544400 has 240 divisors, whose sum is σ = 130522635600. Its totient is φ = 18672353280.

The previous prime is 50412544337. The next prime is 50412544417. The reversal of 50412544400 is 444521405.

It can be written as a sum of positive squares in 24 ways, for example, as 5473632256 + 44938912144 = 73984^2 + 211988^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 31330796 + ... + 31332404.

It is an arithmetic number, because the mean of its divisors is an integer number (543844315).

Almost surely, 2^50412544400 is an apocalyptic number.

50412544400 is a gapful number since it is divisible by the number (50) 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 50412544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65261317800).

50412544400 is an abundant number, since it is smaller than the sum of its proper divisors (80110091200).

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

50412544400 is a wasteful number, since it uses less digits than its factorization.

50412544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 50412544400 in words is "fifty billion, four hundred twelve million, five hundred forty-four thousand, four hundred".