41189825484900 has 729 divisors, whose sum is σ = 136754765183673. Its totient is φ = 10369321142400.

The previous prime is 41189825484817. The next prime is 41189825484911. The reversal of 41189825484900 is 948452898114.

The square root of 41189825484900 is 6417930.

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

41189825484900 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 9 + 82 + 548 + 4 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14828337174564 + 26361488310336 = 3850758^2 + 5134344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 399901218249 + ... + 399901218351.

Almost surely, 2^{41189825484900} is an apocalyptic number.

41189825484900 is the 6417930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41189825484900

41189825484900 is an abundant number, since it is smaller than the sum of its proper divisors (95564939698773).

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

41189825484900 is a wasteful number, since it uses less digits than its factorization.

41189825484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 41189825484900 in words is "forty-one trillion, one hundred eighty-nine billion, eight hundred twenty-five million, four hundred eighty-four thousand, nine hundred".