3314123133040 has 80 divisors (see below), whose sum is σ = 7956009639936. Its totient is φ = 1282545388800.

The previous prime is 3314123133037. The next prime is 3314123133053. The reversal of 3314123133040 is 403313214133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9255745 + ... + 9607135.

Almost surely, 2^{3314123133040} 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 3314123133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978004819968).

3314123133040 is an abundant number, since it is smaller than the sum of its proper divisors (4641886506896).

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

3314123133040 is a wasteful number, since it uses less digits than its factorization.

3314123133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355238 (or 355232 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 3314123133040 its reverse (403313214133), we get a palindrome (3717436347173).

The spelling of 3314123133040 in words is "three trillion, three hundred fourteen billion, one hundred twenty-three million, one hundred thirty-three thousand, forty".