3300442404144 has 80 divisors (see below), whose sum is σ = 9029401947360. Its totient is φ = 1035235491840.

The previous prime is 3300442404121. The next prime is 3300442404157. The reversal of 3300442404144 is 4414042440033.

It is a super-3 number, since 3×3300442404144³ (a number of 39 digits) contains 333 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 15 ways as a sum of consecutive naturals, for example, 3926352 + ... + 4692240.

It is an arithmetic number, because the mean of its divisors is an integer number (112867524342).

Almost surely, 2^{3300442404144} is an apocalyptic number.

3300442404144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3300442404144 is an abundant number, since it is smaller than the sum of its proper divisors (5728959543216).

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

3300442404144 is a wasteful number, since it uses less digits than its factorization.

3300442404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771198 (or 771192 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 3300442404144 its reverse (4414042440033), we get a palindrome (7714484844177).

The spelling of 3300442404144 in words is "three trillion, three hundred billion, four hundred forty-two million, four hundred four thousand, one hundred forty-four".