41263015689 has 81 divisors (see below), whose sum is σ = 73781086197. Its totient is φ = 22152872448.

The previous prime is 41263015687. The next prime is 41263015733. The reversal of 41263015689 is 98651036214.

The square root of 41263015689 is 203133.

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

41263015689 is a `hidden beast` number, since 4 + 1 + 2 + 630 + 1 + 5 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213014025 + 41050001664 = 14595^2 + 202608^2 .

It is not a de Polignac number, because 41263015689 - 2¹ = 41263015687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41263015681) 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, 72518197 + ... + 72518765.

Almost surely, 2^41263015689 is an apocalyptic number.

41263015689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41263015689 is the 203133-rd square number.

41263015689 is the 101567-th centered octagonal number.

It is an amenable number.

41263015689 is a deficient number, since it is larger than the sum of its proper divisors (32518070508).

41263015689 is an equidigital number, since it uses as much as digits as its factorization.

41263015689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 41263015689 in words is "forty-one billion, two hundred sixty-three million, fifteen thousand, six hundred eighty-nine".