10441118737984 has 189 divisors, whose sum is σ = 23136121912449. Its totient is φ = 4671643806720.

The previous prime is 10441118737979. The next prime is 10441118738033. The reversal of 10441118737984 is 48973781114401.

It is a happy number.

The square root of 10441118737984 is 3231272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5926887630400 + 4514231107584 = 2434520^2 + 2124672^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 20757691077 + ... + 20757691579.

Almost surely, 2^{10441118737984} is an apocalyptic number.

10441118737984 is the 3231272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441118737984

10441118737984 is an abundant number, since it is smaller than the sum of its proper divisors (12695003174465).

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

10441118737984 is an frugal number, since it uses more digits than its factorization.

10441118737984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 58.

The spelling of 10441118737984 in words is "ten trillion, four hundred forty-one billion, one hundred eighteen million, seven hundred thirty-seven thousand, nine hundred eighty-four".