4006728408821 has 2 divisors, whose sum is σ = 4006728408822. Its totient is φ = 4006728408820.

The previous prime is 4006728408797. The next prime is 4006728408827. The reversal of 4006728408821 is 1288048276004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3891600525796 + 115127883025 = 1972714^2 + 339305^2 .

It is a cyclic number.

It is not a de Polignac number, because 4006728408821 - 2²² = 4006724214517 is a prime.

It is a super-2 number, since 2×4006728408821² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4006728408821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006728408827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003364204410 + 2003364204411.

It is an arithmetic number, because the mean of its divisors is an integer number (2003364204411).

Almost surely, 2^{4006728408821} is an apocalyptic number.

It is an amenable number.

4006728408821 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006728408821 is an equidigital number, since it uses as much as digits as its factorization.

4006728408821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 4006728408821 in words is "four trillion, six billion, seven hundred twenty-eight million, four hundred eight thousand, eight hundred twenty-one".