333334040328 has 192 divisors, whose sum is σ = 936074880000. Its totient is φ = 107093016576.

The previous prime is 333334040311. The next prime is 333334040387. The reversal of 333334040328 is 823040433333.

It is a super-2 number, since 2×333334040328² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 333334040292 and 333334040301.

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 47 ways as a sum of consecutive naturals, for example, 120032476 + ... + 120035252.

It is an arithmetic number, because the mean of its divisors is an integer number (4875390000).

Almost surely, 2^333334040328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333334040328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468037440000).

333334040328 is an abundant number, since it is smaller than the sum of its proper divisors (602740839672).

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

333334040328 is a wasteful number, since it uses less digits than its factorization.

333334040328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 333334040328 in words is "three hundred thirty-three billion, three hundred thirty-four million, forty thousand, three hundred twenty-eight".