4001124032441 has 2 divisors, whose sum is σ = 4001124032442. Its totient is φ = 4001124032440.

The previous prime is 4001124032401. The next prime is 4001124032459. The reversal of 4001124032441 is 1442304211004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3838872164416 + 162251868025 = 1959304^2 + 402805^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001124032441 - 2¹⁸ = 4001123770297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4001124032441.

It is not a weakly prime, because it can be changed into another prime (4001124032401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000562016220 + 2000562016221.

It is an arithmetic number, because the mean of its divisors is an integer number (2000562016221).

Almost surely, 2^{4001124032441} is an apocalyptic number.

It is an amenable number.

4001124032441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001124032441 is an equidigital number, since it uses as much as digits as its factorization.

4001124032441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4001124032441 its reverse (1442304211004), we get a palindrome (5443428243445).

The spelling of 4001124032441 in words is "four trillion, one billion, one hundred twenty-four million, thirty-two thousand, four hundred forty-one".