41407847921449 has 9 divisors (see below), whose sum is σ = 41451219409509. Its totient is φ = 41364521786880.

The previous prime is 41407847921441. The next prime is 41407847921459. The reversal of 41407847921449 is 94412974870414.

The square root of 41407847921449 is 6434893.

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 592769107225 + 40815078814224 = 769915^2 + 6388668^2 .

It is not a de Polignac number, because 41407847921449 - 2³ = 41407847921441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41407847921441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7419428839 + ... + 7419434419.

It is an arithmetic number, because the mean of its divisors is an integer number (4605691045501).

Almost surely, 2^{41407847921449} is an apocalyptic number.

41407847921449 is the 6434893-rd square number.

41407847921449 is the 3217447-th centered octagonal number.

It is an amenable number.

41407847921449 is a deficient number, since it is larger than the sum of its proper divisors (43371488060).

41407847921449 is an frugal number, since it uses more digits than its factorization.

41407847921449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13468 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 41407847921449 in words is "forty-one trillion, four hundred seven billion, eight hundred forty-seven million, nine hundred twenty-one thousand, four hundred forty-nine".