41669056900 has 81 divisors (see below), whose sum is σ = 91702107469. Its totient is φ = 16434914560.

The previous prime is 41669056879. The next prime is 41669056903. The reversal of 41669056900 is 965096614.

The square root of 41669056900 is 204130.

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

41669056900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 38139746436 + 3529310464 = 195294^2 + 59408^2 .

It is a super-2 number, since 2×41669056900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41669056903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 279658026 + ... + 279658174.

Almost surely, 2^41669056900 is an apocalyptic number.

41669056900 is the 204130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41669056900

41669056900 is an abundant number, since it is smaller than the sum of its proper divisors (50033050569).

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

41669056900 is a wasteful number, since it uses less digits than its factorization.

41669056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 41669056900 in words is "forty-one billion, six hundred sixty-nine million, fifty-six thousand, nine hundred".