10200444441441 has 8 divisors (see below), whose sum is σ = 13600717744800. Its totient is φ = 6800233716192.

The previous prime is 10200444441401. The next prime is 10200444441457. The reversal of 10200444441441 is 14414444400201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10200444441441 - 2¹⁷ = 10200444310369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200444441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15262855 + ... + 15917148.

It is an arithmetic number, because the mean of its divisors is an integer number (1700089718100).

Almost surely, 2^{10200444441441} is an apocalyptic number.

It is an amenable number.

10200444441441 is a deficient number, since it is larger than the sum of its proper divisors (3400273303359).

10200444441441 is a wasteful number, since it uses less digits than its factorization.

10200444441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31289055.

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 10200444441441 its reverse (14414444400201), we get a palindrome (24614888841642).

The spelling of 10200444441441 in words is "ten trillion, two hundred billion, four hundred forty-four million, four hundred forty-one thousand, four hundred forty-one".