40123334305253 has 2 divisors, whose sum is σ = 40123334305254. Its totient is φ = 40123334305252.

The previous prime is 40123334305193. The next prime is 40123334305267. The reversal of 40123334305253 is 35250343332104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36555833084164 + 3567501221089 = 6046142^2 + 1888783^2 .

It is a cyclic number.

It is not a de Polignac number, because 40123334305253 - 2²⁸ = 40123065869797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40123334305273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20061667152626 + 20061667152627.

It is an arithmetic number, because the mean of its divisors is an integer number (20061667152627).

Almost surely, 2^{40123334305253} is an apocalyptic number.

It is an amenable number.

40123334305253 is a deficient number, since it is larger than the sum of its proper divisors (1).

40123334305253 is an equidigital number, since it uses as much as digits as its factorization.

40123334305253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 40123334305253 its reverse (35250343332104), we get a palindrome (75373677637357).

The spelling of 40123334305253 in words is "forty trillion, one hundred twenty-three billion, three hundred thirty-four million, three hundred five thousand, two hundred fifty-three".