51445133330240 has 168 divisors, whose sum is σ = 132660567122328. Its totient is φ = 18993893867520.

The previous prime is 51445133330221. The next prime is 51445133330267. The reversal of 51445133330240 is 4203333154415.

It can be written as a sum of positive squares in 12 ways, for example, as 19297956987136 + 32147176343104 = 4392944^2 + 5669848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51445133330194 and 51445133330203.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1618111784 + ... + 1618143576.

It is an arithmetic number, because the mean of its divisors is an integer number (789646232871).

Almost surely, 2^{51445133330240} 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 51445133330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330283561164).

51445133330240 is an abundant number, since it is smaller than the sum of its proper divisors (81215433792088).

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

51445133330240 is a wasteful number, since it uses less digits than its factorization.

51445133330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61757 (or 61734 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 51445133330240 its reverse (4203333154415), we get a palindrome (55648466484655).

The spelling of 51445133330240 in words is "fifty-one trillion, four hundred forty-five billion, one hundred thirty-three million, three hundred thirty thousand, two hundred forty".