3330416714144 has 72 divisors (see below), whose sum is σ = 7199921004192. Its totient is φ = 1515465719040.

The previous prime is 3330416714069. The next prime is 3330416714153. The reversal of 3330416714144 is 4414176140333.

It is a super-2 number, since 2×3330416714144² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3952874 + ... + 4720809.

It is an arithmetic number, because the mean of its divisors is an integer number (99998902836).

Almost surely, 2^{3330416714144} is an apocalyptic number.

It is an amenable number.

3330416714144 is an abundant number, since it is smaller than the sum of its proper divisors (3869504290048).

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

3330416714144 is a wasteful number, since it uses less digits than its factorization.

3330416714144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673790 (or 8673769 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 3330416714144 in words is "three trillion, three hundred thirty billion, four hundred sixteen million, seven hundred fourteen thousand, one hundred forty-four".