4042404144253 has 2 divisors, whose sum is σ = 4042404144254. Its totient is φ = 4042404144252.

The previous prime is 4042404144199. The next prime is 4042404144307. The reversal of 4042404144253 is 3524414042404.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (4042404144199) and next prime (4042404144307).

It can be written as a sum of positive squares in only one way, i.e., 3780232495524 + 262171648729 = 1944282^2 + 512027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4042404144253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4042404144953) by changing a digit.

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 as a sum of consecutive naturals, namely, 2021202072126 + 2021202072127.

It is an arithmetic number, because the mean of its divisors is an integer number (2021202072127).

Almost surely, 2^{4042404144253} is an apocalyptic number.

It is an amenable number.

4042404144253 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042404144253 is an equidigital number, since it uses as much as digits as its factorization.

4042404144253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 4042404144253 its reverse (3524414042404), we get a palindrome (7566818186657).

The spelling of 4042404144253 in words is "four trillion, forty-two billion, four hundred four million, one hundred forty-four thousand, two hundred fifty-three".