51441105040 has 80 divisors (see below), whose sum is σ = 129028460400. Its totient is φ = 18960039936.

The previous prime is 51441105031. The next prime is 51441105047. The reversal of 51441105040 is 4050114415.

It can be written as a sum of positive squares in 8 ways, for example, as 15596013456 + 35845091584 = 124884^2 + 189328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 51441104996 and 51441105014.

It is not an unprimeable number, because it can be changed into a prime (51441105047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 548296 + ... + 635224.

It is an arithmetic number, because the mean of its divisors is an integer number (1612855755).

Almost surely, 2^51441105040 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 51441105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64514230200).

51441105040 is an abundant number, since it is smaller than the sum of its proper divisors (77587355360).

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

51441105040 is a wasteful number, since it uses less digits than its factorization.

51441105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87524 (or 87518 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 51441105040 its reverse (4050114415), we get a palindrome (55491219455).

The spelling of 51441105040 in words is "fifty-one billion, four hundred forty-one million, one hundred five thousand, forty".