27741406105 has 40 divisors (see below), whose sum is σ = 38890630152. Its totient is φ = 18995768064.

The previous prime is 27741406051. The next prime is 27741406109. The reversal of 27741406105 is 50160414772.

It can be written as a sum of positive squares in 4 ways, for example, as 13691808144 + 14049597961 = 117012^2 + 118531^2 .

It is not a de Polignac number, because 27741406105 - 2¹³ = 27741397913 is a prime.

It is a super-2 number, since 2×27741406105² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27741406109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12400047 + ... + 12402283.

Almost surely, 2^27741406105 is an apocalyptic number.

It is an amenable number.

27741406105 is a deficient number, since it is larger than the sum of its proper divisors (11149224047).

27741406105 is an equidigital number, since it uses as much as digits as its factorization.

27741406105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

It can be divided in two parts, 27741 and 406105, that added together give a triangular number (433846 = T₉₃₁).

The spelling of 27741406105 in words is "twenty-seven billion, seven hundred forty-one million, four hundred six thousand, one hundred five".