40960001 has 2 divisors, whose sum is σ = 40960002. Its totient is φ = 40960000.

The previous prime is 40959979. The next prime is 40960009. The reversal of 40960001 is 10006904.

It is a Cunningham number, because it is equal to 80⁴+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40960000 + 1 = 6400^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 40960001 - 2²² = 36765697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40960009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20480000 + 20480001.

It is an arithmetic number, because the mean of its divisors is an integer number (20480001).

It is a Proth number, since it is equal to 625 ⋅ 2¹⁶ + 1 and 625 < 2¹⁶.

Almost surely, 2^40960001 is an apocalyptic number.

It is an amenable number.

40960001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40960001 is an equidigital number, since it uses as much as digits as its factorization.

40960001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 40960001 is about 6400.0000781250. Note that the first 4 decimals coincide. The cubic root of 40960001 is about 344.7095532104.

Adding to 40960001 its reverse (10006904), we get a palindrome (50966905).

The spelling of 40960001 in words is "forty million, nine hundred sixty thousand, one".