51043334400 has 324 divisors, whose sum is σ = 182954995860. Its totient is φ = 13577011200.

The previous prime is 51043334389. The next prime is 51043334417. The reversal of 51043334400 is 443334015.

It can be written as a sum of positive squares in 6 ways, for example, as 5949962496 + 45093371904 = 77136^2 + 212352^2 .

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 35 ways as a sum of consecutive naturals, for example, 29317530 + ... + 29319270.

Almost surely, 2^51043334400 is an apocalyptic number.

51043334400 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 51043334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91477497930).

51043334400 is an abundant number, since it is smaller than the sum of its proper divisors (131911661460).

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

51043334400 is a wasteful number, since it uses less digits than its factorization.

51043334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 51043334400 its reverse (443334015), we get a palindrome (51486668415).

The spelling of 51043334400 in words is "fifty-one billion, forty-three million, three hundred thirty-four thousand, four hundred".