4112094508900 has 243 divisors, whose sum is σ = 10580566203417. Its totient is φ = 1383142286400.

The previous prime is 4112094508859. The next prime is 4112094508927. The reversal of 4112094508900 is 98054902114.

The square root of 4112094508900 is 2027830.

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

It can be written as a sum of positive squares in only one way, i.e., 1480354023204 + 2631740485696 = 1216698^2 + 1622264^2 .

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, 8374937655 + ... + 8374938145.

Almost surely, 2^{4112094508900} is an apocalyptic number.

4112094508900 is the 2027830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112094508900

4112094508900 is an abundant number, since it is smaller than the sum of its proper divisors (6468471694517).

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

4112094508900 is an equidigital number, since it uses as much as digits as its factorization.

4112094508900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 4112094508900 in words is "four trillion, one hundred twelve billion, ninety-four million, five hundred eight thousand, nine hundred".