4040777681 has 2 divisors, whose sum is σ = 4040777682. Its totient is φ = 4040777680.

The previous prime is 4040777641. The next prime is 4040777693. The reversal of 4040777681 is 1867770404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4001827600 + 38950081 = 63260^2 + 6241^2 .

It is a cyclic number.

It is not a de Polignac number, because 4040777681 - 2²⁶ = 3973668817 is a prime.

It is a super-2 number, since 2×4040777681² = 32655768534535475522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4040777621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2020388840 + 2020388841.

It is an arithmetic number, because the mean of its divisors is an integer number (2020388841).

Almost surely, 2^4040777681 is an apocalyptic number.

It is an amenable number.

4040777681 is a deficient number, since it is larger than the sum of its proper divisors (1).

4040777681 is an equidigital number, since it uses as much as digits as its factorization.

4040777681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 44.

The square root of 4040777681 is about 63567.1116301504. Note that the first 3 decimals coincide. The cubic root of 4040777681 is about 1592.7770359406. Note that the first 3 decimals are identical.

The spelling of 4040777681 in words is "four billion, forty million, seven hundred seventy-seven thousand, six hundred eighty-one".