4114004166079 has 16 divisors (see below), whose sum is σ = 4354915000320. Its totient is φ = 3881116008000.

The previous prime is 4114004166059. The next prime is 4114004166091. The reversal of 4114004166079 is 9706614004114.

It is a cyclic number.

It is not a de Polignac number, because 4114004166079 - 2¹⁵ = 4114004133311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114004166049) 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, 10304967 + ... + 10696744.

It is an arithmetic number, because the mean of its divisors is an integer number (272182187520).

Almost surely, 2^{4114004166079} is an apocalyptic number.

4114004166079 is a deficient number, since it is larger than the sum of its proper divisors (240910834241).

4114004166079 is a wasteful number, since it uses less digits than its factorization.

4114004166079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001902.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 4114004166079 in words is "four trillion, one hundred fourteen billion, four million, one hundred sixty-six thousand, seventy-nine".