40320420230513 has 2 divisors, whose sum is σ = 40320420230514. Its totient is φ = 40320420230512.

The previous prime is 40320420230479. The next prime is 40320420230537. The reversal of 40320420230513 is 31503202402304.

It is a happy number.

40320420230513 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., 23093330024704 + 17227090205809 = 4805552^2 + 4150553^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320420230513 - 2⁶ = 40320420230449 is a prime.

It is not a weakly prime, because it can be changed into another prime (40320120230513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160210115256 + 20160210115257.

It is an arithmetic number, because the mean of its divisors is an integer number (20160210115257).

Almost surely, 2^{40320420230513} is an apocalyptic number.

It is an amenable number.

40320420230513 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320420230513 is an equidigital number, since it uses as much as digits as its factorization.

40320420230513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 40320420230513 its reverse (31503202402304), we get a palindrome (71823622632817).

The spelling of 40320420230513 in words is "forty trillion, three hundred twenty billion, four hundred twenty million, two hundred thirty thousand, five hundred thirteen".