27401047629201 has 27 divisors (see below), whose sum is σ = 39869258706459. Its totient is φ = 18134500443552.

The previous prime is 27401047629173. The next prime is 27401047629209. The reversal of 27401047629201 is 10292674010472.

The square root of 27401047629201 is 5234601.

It is a perfect power (a square), and thus also a powerful number.

27401047629201 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 10 + 4 + 7 + 629 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27322522139025 + 78525490176 = 5227095^2 + 280224^2 .

It is not a de Polignac number, because 27401047629201 - 2⁷ = 27401047629073 is a prime.

It is a super-2 number, since 2×27401047629201² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27401047629209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2182822341 + ... + 2182834893.

Almost surely, 2^{27401047629201} is an apocalyptic number.

27401047629201 is the 5234601-st square number.

27401047629201 is the 2617301-st centered octagonal number.

It is an amenable number.

27401047629201 is a deficient number, since it is larger than the sum of its proper divisors (12468211077258).

27401047629201 is an frugal number, since it uses more digits than its factorization.

27401047629201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25390 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27401047629201 in words is "twenty-seven trillion, four hundred one billion, forty-seven million, six hundred twenty-nine thousand, two hundred one".