4208028617104 has 135 divisors (see below), whose sum is σ = 8938339366977. Its totient is φ = 1918289363328.

The previous prime is 4208028617101. The next prime is 4208028617129. The reversal of 4208028617104 is 4017168208024.

The square root of 4208028617104 is 2051348.

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., 622489440400 + 3585539176704 = 788980^2 + 1893552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4208028617101) 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 26 ways as a sum of consecutive naturals, for example, 10987019697 + ... + 10987020079.

Almost surely, 2^{4208028617104} is an apocalyptic number.

4208028617104 is the 2051348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4208028617104

4208028617104 is an abundant number, since it is smaller than the sum of its proper divisors (4730310749873).

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

4208028617104 is an equidigital number, since it uses as much as digits as its factorization.

4208028617104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 4208028617104 in words is "four trillion, two hundred eight billion, twenty-eight million, six hundred seventeen thousand, one hundred four".