4114144077067 has 16 divisors (see below), whose sum is σ = 4345477792000. Its totient is φ = 3884312970720.

The previous prime is 4114144077047. The next prime is 4114144077079. The reversal of 4114144077067 is 7607704414114.

It is a cyclic number.

It is not a de Polignac number, because 4114144077067 - 2³⁵ = 4079784338699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4114144077007) 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, 6244309 + ... + 6871657.

It is an arithmetic number, because the mean of its divisors is an integer number (271592362000).

Almost surely, 2^{4114144077067} is an apocalyptic number.

4114144077067 is a deficient number, since it is larger than the sum of its proper divisors (231333714933).

4114144077067 is a wasteful number, since it uses less digits than its factorization.

4114144077067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628546.

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 4114144077067 in words is "four trillion, one hundred fourteen billion, one hundred forty-four million, seventy-seven thousand, sixty-seven".