4395094216704 has 351 divisors, whose sum is σ = 12979430414769. Its totient is φ = 1432964136960.

The previous prime is 4395094216687. The next prime is 4395094216741. The reversal of 4395094216704 is 4076124905934.

The square root of 4395094216704 is 2096448.

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

4395094216704 is a `hidden beast` number, since 4 + 39 + 509 + 42 + 1 + 67 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142920290304 + 4252173926400 = 378048^2 + 2062080^2 .

It is an unprimeable number.

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, 24553598887 + ... + 24553599065.

Almost surely, 2^{4395094216704} is an apocalyptic number.

4395094216704 is the 2096448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4395094216704

4395094216704 is an abundant number, since it is smaller than the sum of its proper divisors (8584336198065).

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

4395094216704 is an frugal number, since it uses more digits than its factorization.

4395094216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4395094216704 in words is "four trillion, three hundred ninety-five billion, ninety-four million, two hundred sixteen thousand, seven hundred four".