40013200417 has 2 divisors, whose sum is σ = 40013200418. Its totient is φ = 40013200416.

The previous prime is 40013200363. The next prime is 40013200421. The reversal of 40013200417 is 71400231004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30804111121 + 9209089296 = 175511^2 + 95964^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40013200417 is a prime.

It is a super-2 number, since 2×40013200417² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40013200427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20006600208 + 20006600209.

It is an arithmetic number, because the mean of its divisors is an integer number (20006600209).

Almost surely, 2^40013200417 is an apocalyptic number.

It is an amenable number.

40013200417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40013200417 is an equidigital number, since it uses as much as digits as its factorization.

40013200417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 40013200417 its product of nonzero digits (672), we get a square (40013201089 = 200033²).

The spelling of 40013200417 in words is "forty billion, thirteen million, two hundred thousand, four hundred seventeen".