41553599409 has 81 divisors (see below), whose sum is σ = 74300211531. Its totient is φ = 22309015680.

The previous prime is 41553599383. The next prime is 41553599413. The reversal of 41553599409 is 90499535514.

The square root of 41553599409 is 203847.

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

41553599409 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 3 + 599 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32351418225 + 9202181184 = 179865^2 + 95928^2 .

It is not a de Polignac number, because 41553599409 - 2⁵ = 41553599377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41553599449) 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 80 ways as a sum of consecutive naturals, for example, 72773094 + ... + 72773664.

Almost surely, 2^41553599409 is an apocalyptic number.

41553599409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

41553599409 is the 203847-th square number.

41553599409 is the 101924-th centered octagonal number.

It is an amenable number.

41553599409 is a deficient number, since it is larger than the sum of its proper divisors (32746612122).

41553599409 is an equidigital number, since it uses as much as digits as its factorization.

41553599409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 41553599409 in words is "forty-one billion, five hundred fifty-three million, five hundred ninety-nine thousand, four hundred nine".