40320321257 has 2 divisors, whose sum is σ = 40320321258. Its totient is φ = 40320321256.

The previous prime is 40320321161. The next prime is 40320321259. The reversal of 40320321257 is 75212302304.

40320321257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37914320656 + 2406000601 = 194716^2 + 49051^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320321257 - 2⁸ = 40320321001 is a prime.

Together with 40320321259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40320321259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160160628 + 20160160629.

It is an arithmetic number, because the mean of its divisors is an integer number (20160160629).

Almost surely, 2^40320321257 is an apocalyptic number.

It is an amenable number.

40320321257 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320321257 is an equidigital number, since it uses as much as digits as its factorization.

40320321257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 29.

The spelling of 40320321257 in words is "forty billion, three hundred twenty million, three hundred twenty-one thousand, two hundred fifty-seven".