3314414430240 has 192 divisors, whose sum is σ = 11055950889984. Its totient is φ = 831747391488.

The previous prime is 3314414430199. The next prime is 3314414430241. The reversal of 3314414430240 is 420344144133.

It is not an unprimeable number, because it can be changed into a prime (3314414430241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79106577 + ... + 79148463.

It is an arithmetic number, because the mean of its divisors is an integer number (57583077552).

Almost surely, 2^{3314414430240} is an apocalyptic number.

3314414430240 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 3314414430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527975444992).

3314414430240 is an abundant number, since it is smaller than the sum of its proper divisors (7741536459744).

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

3314414430240 is a wasteful number, since it uses less digits than its factorization.

3314414430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51619 (or 51611 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3314414430240 its reverse (420344144133), we get a palindrome (3734758574373).

The spelling of 3314414430240 in words is "three trillion, three hundred fourteen billion, four hundred fourteen million, four hundred thirty thousand, two hundred forty".