3330413231424 has 168 divisors, whose sum is σ = 9370336786848. Its totient is φ = 1043742597120.

The previous prime is 3330413231393. The next prime is 3330413231449. The reversal of 3330413231424 is 4241323140333.

It is a happy number.

It is a super-3 number, since 3×3330413231424³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53847942 + ... + 53909754.

Almost surely, 2^{3330413231424} is an apocalyptic number.

3330413231424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330413231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685168393424).

3330413231424 is an abundant number, since it is smaller than the sum of its proper divisors (6039923555424).

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

3330413231424 is a wasteful number, since it uses less digits than its factorization.

3330413231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62833 (or 62806 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 3330413231424 its reverse (4241323140333), we get a palindrome (7571736371757).

The spelling of 3330413231424 in words is "three trillion, three hundred thirty billion, four hundred thirteen million, two hundred thirty-one thousand, four hundred twenty-four".