4064211104689 has 16 divisors (see below), whose sum is σ = 4118584299984. Its totient is φ = 4010201395200.

The previous prime is 4064211104671. The next prime is 4064211104693. The reversal of 4064211104689 is 9864011124604.

It can be written as a sum of positive squares in 8 ways, for example, as 2003263744689 + 2060947360000 = 1415367^2 + 1435600^2 .

It is a cyclic number.

It is not a de Polignac number, because 4064211104689 - 2⁴¹ = 1865187849137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4064211104389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22466179 + ... + 22646359.

It is an arithmetic number, because the mean of its divisors is an integer number (257411518749).

Almost surely, 2^{4064211104689} is an apocalyptic number.

It is an amenable number.

4064211104689 is a deficient number, since it is larger than the sum of its proper divisors (54373195295).

4064211104689 is a wasteful number, since it uses less digits than its factorization.

4064211104689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181188.

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 4064211104689 in words is "four trillion, sixty-four billion, two hundred eleven million, one hundred four thousand, six hundred eighty-nine".