3313424341440 has 336 divisors, whose sum is σ = 11744748550080. Its totient is φ = 856862146560.

The previous prime is 3313424341397. The next prime is 3313424341457. The reversal of 3313424341440 is 441434243133.

3313424341440 is a `hidden beast` number, since 3 + 3 + 134 + 2 + 43 + 41 + 440 = 666.

3313424341440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3313424341395 and 3313424341404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19635346 + ... + 19803374.

It is an arithmetic number, because the mean of its divisors is an integer number (34954608780).

Almost surely, 2^{3313424341440} is an apocalyptic number.

3313424341440 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 3313424341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872374275040).

3313424341440 is an abundant number, since it is smaller than the sum of its proper divisors (8431324208640).

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

3313424341440 is a wasteful number, since it uses less digits than its factorization.

3313424341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168260 (or 168247 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 3313424341440 its reverse (441434243133), we get a palindrome (3754858584573).

The spelling of 3313424341440 in words is "three trillion, three hundred thirteen billion, four hundred twenty-four million, three hundred forty-one thousand, four hundred forty".