4000451041 has 2 divisors, whose sum is σ = 4000451042. Its totient is φ = 4000451040.

The previous prime is 4000450981. The next prime is 4000451069. The reversal of 4000451041 is 1401540004.

4000451041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3903625441 + 96825600 = 62479^2 + 9840^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000451041 - 2¹⁵ = 4000418273 is a prime.

It is not a weakly prime, because it can be changed into another prime (4000451941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000225520 + 2000225521.

It is an arithmetic number, because the mean of its divisors is an integer number (2000225521).

Almost surely, 2^4000451041 is an apocalyptic number.

It is an amenable number.

4000451041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000451041 is an equidigital number, since it uses as much as digits as its factorization.

4000451041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4000451041 is about 63249.1188950486. The cubic root of 4000451041 is about 1587.4607149722.

Adding to 4000451041 its reverse (1401540004), we get a palindrome (5401991045).

The spelling of 4000451041 in words is "four billion, four hundred fifty-one thousand, forty-one".