40205365121321 has 2 divisors, whose sum is σ = 40205365121322. Its totient is φ = 40205365121320.

The previous prime is 40205365121309. The next prime is 40205365121333. The reversal of 40205365121321 is 12312156350204.

It is a balanced prime because it is at equal distance from previous prime (40205365121309) and next prime (40205365121333).

It can be written as a sum of positive squares in only one way, i.e., 38533503191296 + 1671861930025 = 6207536^2 + 1293005^2 .

It is a cyclic number.

It is not a de Polignac number, because 40205365121321 - 2²⁶ = 40205298012457 is a prime.

It is not a weakly prime, because it can be changed into another prime (40205365121221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20102682560660 + 20102682560661.

It is an arithmetic number, because the mean of its divisors is an integer number (20102682560661).

Almost surely, 2^{40205365121321} is an apocalyptic number.

It is an amenable number.

40205365121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

40205365121321 is an equidigital number, since it uses as much as digits as its factorization.

40205365121321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 40205365121321 in words is "forty trillion, two hundred five billion, three hundred sixty-five million, one hundred twenty-one thousand, three hundred twenty-one".