40586401 has 2 divisors, whose sum is σ = 40586402. Its totient is φ = 40586400.

The previous prime is 40586363. The next prime is 40586407. The reversal of 40586401 is 10468504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30030400 + 10556001 = 5480^2 + 3249^2 .

It is a cyclic number.

It is not a de Polignac number, because 40586401 - 2¹¹ = 40584353 is a prime.

It is a super-2 number, since 2×40586401² = 3294511892265602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40586401.

It is not a weakly prime, because it can be changed into another prime (40586407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20293200 + 20293201.

It is an arithmetic number, because the mean of its divisors is an integer number (20293201).

Almost surely, 2^40586401 is an apocalyptic number.

It is an amenable number.

40586401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40586401 is an equidigital number, since it uses as much as digits as its factorization.

40586401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 40586401 is about 6370.7457177320. The cubic root of 40586401 is about 343.6583078417.

The spelling of 40586401 in words is "forty million, five hundred eighty-six thousand, four hundred one".