3323314199040 has 1280 divisors, whose sum is σ = 12373416050688. Its totient is φ = 753500160000.

The previous prime is 3323314198987. The next prime is 3323314199069. The reversal of 3323314199040 is 409914133233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3323314199040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323314198983 and 3323314199001.

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 127 ways as a sum of consecutive naturals, for example, 11342369134 + ... + 11342369426.

Almost surely, 2^{3323314199040} is an apocalyptic number.

3323314199040 is a gapful number since it is divisible by the number (30) 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 3323314199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186708025344).

3323314199040 is an abundant number, since it is smaller than the sum of its proper divisors (9050101851648).

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

3323314199040 is a wasteful number, since it uses less digits than its factorization.

3323314199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 3323314199040 in words is "three trillion, three hundred twenty-three billion, three hundred fourteen million, one hundred ninety-nine thousand, forty".