3314240040320 has 128 divisors (see below), whose sum is σ = 8646049486080. Its totient is φ = 1204807014400.

The previous prime is 3314240040301. The next prime is 3314240040343. The reversal of 3314240040320 is 230400424133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3314240040320.

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, 23323085 + ... + 23464755.

It is an arithmetic number, because the mean of its divisors is an integer number (67547261610).

Almost surely, 2^{3314240040320} 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 3314240040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323024743040).

3314240040320 is an abundant number, since it is smaller than the sum of its proper divisors (5331809445760).

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

3314240040320 is a wasteful number, since it uses less digits than its factorization.

3314240040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145024 (or 145012 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3314240040320 its reverse (230400424133), we get a palindrome (3544640464453).

The spelling of 3314240040320 in words is "three trillion, three hundred fourteen billion, two hundred forty million, forty thousand, three hundred twenty".