41726232900 has 243 divisors, whose sum is σ = 143991944733. Its totient is φ = 10099108800.

The previous prime is 41726232859. The next prime is 41726232907. The reversal of 41726232900 is 923262714.

The square root of 41726232900 is 204270.

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

41726232900 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 623 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15021443844 + 26704789056 = 122562^2 + 163416^2 .

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 (41726232907) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 67408791 + ... + 67409409.

Almost surely, 2^41726232900 is an apocalyptic number.

41726232900 is the 204270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41726232900

41726232900 is an abundant number, since it is smaller than the sum of its proper divisors (102265711833).

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

41726232900 is a wasteful number, since it uses less digits than its factorization.

41726232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 41726232900 by its sum of digits (36), we get a square (1502144384400 = 1225620²).

41726232900 divided by its sum of digits (36) gives a square (1159062025 = 34045²).

The spelling of 41726232900 in words is "forty-one billion, seven hundred twenty-six million, two hundred thirty-two thousand, nine hundred".