41090533264 has 135 divisors (see below), whose sum is σ = 93303040593. Its totient is φ = 17513971200.

The previous prime is 41090533249. The next prime is 41090533277. The reversal of 41090533264 is 46233509014.

The square root of 41090533264 is 202708.

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., 31990899600 + 9099633664 = 178860^2 + 95392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151625449 + ... + 151625719.

Almost surely, 2^41090533264 is an apocalyptic number.

41090533264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

41090533264 is the 202708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41090533264

41090533264 is an abundant number, since it is smaller than the sum of its proper divisors (52212507329).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41090533264 is a wasteful number, since it uses less digits than its factorization.

41090533264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 41090533264 in words is "forty-one billion, ninety million, five hundred thirty-three thousand, two hundred sixty-four".