41074383744900 has 243 divisors, whose sum is σ = 141520797194959. Its totient is φ = 9956913648000.

The previous prime is 41074383744871. The next prime is 41074383744917. The reversal of 41074383744900 is 944738347014.

It is a happy number.

The square root of 41074383744900 is 6408930.

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

41074383744900 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 4 + 3 + 83 + 74 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9436188698244 + 31638195046656 = 3071838^2 + 5624784^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2114937190 + ... + 2114956610.

Almost surely, 2^{41074383744900} is an apocalyptic number.

41074383744900 is the 6408930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41074383744900

41074383744900 is an abundant number, since it is smaller than the sum of its proper divisors (100446413450059).

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

41074383744900 is a wasteful number, since it uses less digits than its factorization.

41074383744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38884 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 41074383744900 in words is "forty-one trillion, seventy-four billion, three hundred eighty-three million, seven hundred forty-four thousand, nine hundred".