3066704942401 has 9 divisors (see below), whose sum is σ = 3071617910409. Its totient is φ = 3061799828400.

The previous prime is 3066704942387. The next prime is 3066704942423. The reversal of 3066704942401 is 1042494076603.

The square root of 3066704942401 is 1751201.

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 1068326892801 + 1998378049600 = 1033599^2 + 1413640^2 .

It is not a de Polignac number, because 3066704942401 - 2²⁹ = 3066168071489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3066704942101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1647879211 + ... + 1647881071.

Almost surely, 2^{3066704942401} is an apocalyptic number.

3066704942401 is the 1751201-st square number.

3066704942401 is the 875601-st centered octagonal number.

It is an amenable number.

3066704942401 is a deficient number, since it is larger than the sum of its proper divisors (4912968008).

3066704942401 is an frugal number, since it uses more digits than its factorization.

3066704942401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 3066704942401 in words is "three trillion, sixty-six billion, seven hundred four million, nine hundred forty-two thousand, four hundred one".