4417016788900 has 81 divisors (see below), whose sum is σ = 9721402087971. Its totient is φ = 1741998602880.

The previous prime is 4417016788879. The next prime is 4417016788901. The reversal of 4417016788900 is 98876107144.

The square root of 4417016788900 is 2101670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24169677156 + 4392847111744 = 155466^2 + 2095912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4417016788901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1534217661 + ... + 1534220539.

Almost surely, 2^{4417016788900} is an apocalyptic number.

4417016788900 is the 2101670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417016788900

4417016788900 is an abundant number, since it is smaller than the sum of its proper divisors (5304385299071).

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

4417016788900 is an frugal number, since it uses more digits than its factorization.

4417016788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 4417016788900 in words is "four trillion, four hundred seventeen billion, sixteen million, seven hundred eighty-eight thousand, nine hundred".