4086440640449 has 2 divisors, whose sum is σ = 4086440640450. Its totient is φ = 4086440640448.

The previous prime is 4086440640437. The next prime is 4086440640473. The reversal of 4086440640449 is 9440460446804.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3655227778225 + 431212862224 = 1911865^2 + 656668^2 .

It is a cyclic number.

It is not a de Polignac number, because 4086440640449 - 2¹⁶ = 4086440574913 is a prime.

It is a super-3 number, since 3×4086440640449³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4086440640449.

It is not a weakly prime, because it can be changed into another prime (4086440640479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2043220320224 + 2043220320225.

It is an arithmetic number, because the mean of its divisors is an integer number (2043220320225).

Almost surely, 2^{4086440640449} is an apocalyptic number.

It is an amenable number.

4086440640449 is a deficient number, since it is larger than the sum of its proper divisors (1).

4086440640449 is an equidigital number, since it uses as much as digits as its factorization.

4086440640449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10616832, while the sum is 53.

The spelling of 4086440640449 in words is "four trillion, eighty-six billion, four hundred forty million, six hundred forty thousand, four hundred forty-nine".