3340166842401 has 16 divisors (see below), whose sum is σ = 4563382528320. Its totient is φ = 2171893178880.

The previous prime is 3340166842367. The next prime is 3340166842409. The reversal of 3340166842401 is 1042486610433.

It is a happy number.

It is not a de Polignac number, because 3340166842401 - 2¹³ = 3340166834209 is a prime.

It is a super-2 number, since 2×3340166842401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340166842409) 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 15 ways as a sum of consecutive naturals, for example, 3113191 + ... + 4046268.

It is an arithmetic number, because the mean of its divisors is an integer number (285211408020).

Almost surely, 2^{3340166842401} is an apocalyptic number.

It is an amenable number.

3340166842401 is a deficient number, since it is larger than the sum of its proper divisors (1223215685919).

3340166842401 is a wasteful number, since it uses less digits than its factorization.

3340166842401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163296.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 3340166842401 in words is "three trillion, three hundred forty billion, one hundred sixty-six million, eight hundred forty-two thousand, four hundred one".