4116727861401 has 32 divisors (see below), whose sum is σ = 5882923342080. Its totient is φ = 2553991824384.

The previous prime is 4116727861399. The next prime is 4116727861423. The reversal of 4116727861401 is 1041687276114.

It is not a de Polignac number, because 4116727861401 - 2¹ = 4116727861399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4116727861601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33006765 + ... + 33131253.

It is an arithmetic number, because the mean of its divisors is an integer number (183841354440).

Almost surely, 2^{4116727861401} is an apocalyptic number.

It is an amenable number.

4116727861401 is a deficient number, since it is larger than the sum of its proper divisors (1766195480679).

4116727861401 is a wasteful number, since it uses less digits than its factorization.

4116727861401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137505.

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 4116727861401 in words is "four trillion, one hundred sixteen billion, seven hundred twenty-seven million, eight hundred sixty-one thousand, four hundred one".