4034400961 has 2 divisors, whose sum is σ = 4034400962. Its totient is φ = 4034400960.

The previous prime is 4034400959. The next prime is 4034401009. The reversal of 4034400961 is 1690044304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2277198400 + 1757202561 = 47720^2 + 41919^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034400961 - 2¹ = 4034400959 is a prime.

It is a super-2 number, since 2×4034400961² = 32552782228235447042, which contains 22 as substring.

Together with 4034400959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4034400901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017200480 + 2017200481.

It is an arithmetic number, because the mean of its divisors is an integer number (2017200481).

Almost surely, 2^4034400961 is an apocalyptic number.

It is an amenable number.

4034400961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034400961 is an equidigital number, since it uses as much as digits as its factorization.

4034400961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4034400961 is about 63516.9344427138. The cubic root of 4034400961 is about 1591.9387451127.

The spelling of 4034400961 in words is "four billion, thirty-four million, four hundred thousand, nine hundred sixty-one".