41485949761 has 9 divisors (see below), whose sum is σ = 41676035241. Its totient is φ = 41296730112.

The previous prime is 41485949759. The next prime is 41485949773. The reversal of 41485949761 is 16794958414.

It is a happy number.

The square root of 41485949761 is 203681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13530109761 + 27955840000 = 116319^2 + 167200^2 .

It is not a de Polignac number, because 41485949761 - 2¹ = 41485949759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41485949696 and 41485949705.

It is not an unprimeable number, because it can be changed into a prime (41485944761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71899105 + ... + 71899681.

Almost surely, 2^41485949761 is an apocalyptic number.

41485949761 is the 203681-st square number.

41485949761 is the 101841-st centered octagonal number.

It is an amenable number.

41485949761 is a deficient number, since it is larger than the sum of its proper divisors (190085480).

41485949761 is an frugal number, since it uses more digits than its factorization.

41485949761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 41485949761 in words is "forty-one billion, four hundred eighty-five million, nine hundred forty-nine thousand, seven hundred sixty-one".