3410042240000 has 440 divisors, whose sum is σ = 9839568367728. Its totient is φ = 1167032320000.

The previous prime is 3410042239987. The next prime is 3410042240009. The reversal of 3410042240000 is 422400143.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410042240009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119665754 + ... + 119694246.

Almost surely, 2^{3410042240000} 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 3410042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919784183864).

3410042240000 is an abundant number, since it is smaller than the sum of its proper divisors (6429526127728).

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

3410042240000 is a wasteful number, since it uses less digits than its factorization.

3410042240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28561 (or 28528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3410042240000 its reverse (422400143), we get a palindrome (3410464640143).

The spelling of 3410042240000 in words is "three trillion, four hundred ten billion, forty-two million, two hundred forty thousand".