41603760900 has 243 divisors, whose sum is σ = 141477942879. Its totient is φ = 10221344640.

The previous prime is 41603760871. The next prime is 41603760907. The reversal of 41603760900 is 906730614.

The square root of 41603760900 is 203970.

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

41603760900 is a `hidden beast` number, since 4 + 16 + 0 + 37 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10723430916 + 30880329984 = 103554^2 + 175728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41603760907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79548039 + ... + 79548561.

Almost surely, 2^41603760900 is an apocalyptic number.

41603760900 is the 203970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41603760900

41603760900 is an abundant number, since it is smaller than the sum of its proper divisors (99874181979).

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

41603760900 is a wasteful number, since it uses less digits than its factorization.

41603760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 41603760900 by its sum of digits (36), we get a square (1497735392400 = 1223820²).

41603760900 divided by its sum of digits (36) gives a square (1155660025 = 33995²).

The spelling of 41603760900 in words is "forty-one billion, six hundred three million, seven hundred sixty thousand, nine hundred".