3401313414044 has 288 divisors, whose sum is σ = 7840457856000. Its totient is φ = 1260597012480.

The previous prime is 3401313414011. The next prime is 3401313414077. The reversal of 3401313414044 is 4404143131043.

It is an interprime number because it is at equal distance from previous prime (3401313414011) and next prime (3401313414077).

It is a self number, because there is not a number n which added to its sum of digits gives 3401313414044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5678319257 + ... + 5678319855.

It is an arithmetic number, because the mean of its divisors is an integer number (27223812000).

Almost surely, 2^{3401313414044} 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 3401313414044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920228928000).

3401313414044 is an abundant number, since it is smaller than the sum of its proper divisors (4439144441956).

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

3401313414044 is a wasteful number, since it uses less digits than its factorization.

3401313414044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3401313414044 its reverse (4404143131043), we get a palindrome (7805456545087).

The spelling of 3401313414044 in words is "three trillion, four hundred one billion, three hundred thirteen million, four hundred fourteen thousand, forty-four".