40077476846681 has 2 divisors, whose sum is σ = 40077476846682. Its totient is φ = 40077476846680.

The previous prime is 40077476846669. The next prime is 40077476846683. The reversal of 40077476846681 is 18664867477004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36454606195225 + 3622870651456 = 6037765^2 + 1903384^2 .

It is a cyclic number.

It is not a de Polignac number, because 40077476846681 - 2²² = 40077472652377 is a prime.

It is a super-2 number, since 2×40077476846681² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 40077476846683, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40077476846683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20038738423340 + 20038738423341.

It is an arithmetic number, because the mean of its divisors is an integer number (20038738423341).

Almost surely, 2^{40077476846681} is an apocalyptic number.

It is an amenable number.

40077476846681 is a deficient number, since it is larger than the sum of its proper divisors (1).

40077476846681 is an equidigital number, since it uses as much as digits as its factorization.

40077476846681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 303464448, while the sum is 68.

The spelling of 40077476846681 in words is "forty trillion, seventy-seven billion, four hundred seventy-six million, eight hundred forty-six thousand, six hundred eighty-one".