4010400721 has 2 divisors, whose sum is σ = 4010400722. Its totient is φ = 4010400720.

The previous prime is 4010400679. The next prime is 4010400731. The reversal of 4010400721 is 1270040104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3905625025 + 104775696 = 62495^2 + 10236^2 .

It is a cyclic number.

It is not a de Polignac number, because 4010400721 - 2⁹ = 4010400209 is a prime.

It is not a weakly prime, because it can be changed into another prime (4010400731) 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, 2005200360 + 2005200361.

It is an arithmetic number, because the mean of its divisors is an integer number (2005200361).

Almost surely, 2^4010400721 is an apocalyptic number.

It is an amenable number.

4010400721 is a deficient number, since it is larger than the sum of its proper divisors (1).

4010400721 is an equidigital number, since it uses as much as digits as its factorization.

4010400721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4010400721 is about 63327.7247420117. The cubic root of 4010400721 is about 1588.7757041626.

Adding to 4010400721 its reverse (1270040104), we get a palindrome (5280440825).

The spelling of 4010400721 in words is "four billion, ten million, four hundred thousand, seven hundred twenty-one".