3411341040000 has 640 divisors, whose sum is σ = 12282178819680. Its totient is φ = 835256320000.

The previous prime is 3411341039989. The next prime is 3411341040013. The reversal of 3411341040000 is 401431143.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167269804 + ... + 167290196.

Almost surely, 2^{3411341040000} is an apocalyptic number.

3411341040000 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 3411341040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6141089409840).

3411341040000 is an abundant number, since it is smaller than the sum of its proper divisors (8870837779680).

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

3411341040000 is a wasteful number, since it uses less digits than its factorization.

3411341040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20488 (or 20461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3411341040000 its reverse (401431143), we get a palindrome (3411742471143).

The spelling of 3411341040000 in words is "three trillion, four hundred eleven billion, three hundred forty-one million, forty thousand".