4071104077689 has 48 divisors (see below), whose sum is σ = 6656739485760. Its totient is φ = 2465825924160.

The previous prime is 4071104077637. The next prime is 4071104077823. The reversal of 4071104077689 is 9867704011704.

It is a happy number.

4071104077689 is a `hidden beast` number, since 40 + 7 + 110 + 407 + 7 + 6 + 89 = 666.

It is not a de Polignac number, because 4071104077689 - 2⁸ = 4071104077433 is a prime.

It is a super-2 number, since 2×4071104077689² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4071104072689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3910507 + ... + 4840895.

It is an arithmetic number, because the mean of its divisors is an integer number (138682072620).

Almost surely, 2^{4071104077689} is an apocalyptic number.

It is an amenable number.

4071104077689 is a deficient number, since it is larger than the sum of its proper divisors (2585635408071).

4071104077689 is a wasteful number, since it uses less digits than its factorization.

4071104077689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932052 (or 932040 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 4071104077689 in words is "four trillion, seventy-one billion, one hundred four million, seventy-seven thousand, six hundred eighty-nine".