27461456242401 has 8 divisors (see below), whose sum is σ = 36654688637280. Its totient is φ = 18287930671232.

The previous prime is 27461456242397. The next prime is 27461456242447. The reversal of 27461456242401 is 10424265416472.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27461456242401 - 2² = 27461456242397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27461456232401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4926702675 + ... + 4926708248.

It is an arithmetic number, because the mean of its divisors is an integer number (4581836079660).

Almost surely, 2^{27461456242401} is an apocalyptic number.

It is an amenable number.

27461456242401 is a deficient number, since it is larger than the sum of its proper divisors (9193232394879).

27461456242401 is an equidigital number, since it uses as much as digits as its factorization.

27461456242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853411855.

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 27461456242401 in words is "twenty-seven trillion, four hundred sixty-one billion, four hundred fifty-six million, two hundred forty-two thousand, four hundred one".