41416727121 has 81 divisors (see below), whose sum is σ = 76579918779. Its totient is φ = 21490761600.

The previous prime is 41416727119. The next prime is 41416727153. The reversal of 41416727121 is 12172761414.

The square root of 41416727121 is 203511.

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

It can be written as a sum of positive squares in only one way, i.e., 7265687121 + 34151040000 = 85239^2 + 184800^2 .

It is not a de Polignac number, because 41416727121 - 2¹ = 41416727119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41416722121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47010601 + ... + 47011481.

Almost surely, 2^41416727121 is an apocalyptic number.

41416727121 is the 203511-st square number.

41416727121 is the 101756-th centered octagonal number.

It is an amenable number.

41416727121 is a deficient number, since it is larger than the sum of its proper divisors (35163191658).

41416727121 is an equidigital number, since it uses as much as digits as its factorization.

41416727121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 902 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

Multiplying 41416727121 by its sum of digits (36), we get a square (1491002176356 = 1221066²).

The spelling of 41416727121 in words is "forty-one billion, four hundred sixteen million, seven hundred twenty-seven thousand, one hundred twenty-one".