4056173721601 has 2 divisors, whose sum is σ = 4056173721602. Its totient is φ = 4056173721600.

The previous prime is 4056173721599. The next prime is 4056173721617. The reversal of 4056173721601 is 1061273716504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3975716966400 + 80456755201 = 1993920^2 + 283649^2 .

It is a cyclic number.

It is not a de Polignac number, because 4056173721601 - 2¹ = 4056173721599 is a prime.

Together with 4056173721599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4056173721401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028086860800 + 2028086860801.

It is an arithmetic number, because the mean of its divisors is an integer number (2028086860801).

Almost surely, 2^{4056173721601} is an apocalyptic number.

It is an amenable number.

4056173721601 is a deficient number, since it is larger than the sum of its proper divisors (1).

4056173721601 is an equidigital number, since it uses as much as digits as its factorization.

4056173721601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

It can be divided in two parts, 4056173 and 721601, that added together give a palindrome (4777774).

The spelling of 4056173721601 in words is "four trillion, fifty-six billion, one hundred seventy-three million, seven hundred twenty-one thousand, six hundred one".