41188811458201 has 27 divisors (see below), whose sum is σ = 47329521182293. Its totient is φ = 35814945862520.

The previous prime is 41188811458169. The next prime is 41188811458213. The reversal of 41188811458201 is 10285411888114.

The square root of 41188811458201 is 6417851.

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

It is not a de Polignac number, because 41188811458201 - 2⁵ = 41188811458169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41188811458801) 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, 1623703620 + ... + 1623728986.

Almost surely, 2^{41188811458201} is an apocalyptic number.

41188811458201 is the 6417851-st square number.

41188811458201 is the 3208926-th centered octagonal number.

It is an amenable number.

41188811458201 is a deficient number, since it is larger than the sum of its proper divisors (6140709724092).

41188811458201 is an frugal number, since it uses more digits than its factorization.

41188811458201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50802 (or 25401 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 52.

The spelling of 41188811458201 in words is "forty-one trillion, one hundred eighty-eight billion, eight hundred eleven million, four hundred fifty-eight thousand, two hundred one".