3413042442100 has 144 divisors (see below), whose sum is σ = 7629095206656. Its totient is φ = 1324670464000.

The previous prime is 3413042442049. The next prime is 3413042442137. The reversal of 3413042442100 is 12442403143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837965664 + ... + 837969736.

It is an arithmetic number, because the mean of its divisors is an integer number (52979827824).

Almost surely, 2^{3413042442100} 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 3413042442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814547603328).

3413042442100 is an abundant number, since it is smaller than the sum of its proper divisors (4216052764556).

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

3413042442100 is a wasteful number, since it uses less digits than its factorization.

3413042442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3413042442100 its reverse (12442403143), we get a palindrome (3425484845243).

The spelling of 3413042442100 in words is "three trillion, four hundred thirteen billion, forty-two million, four hundred forty-two thousand, one hundred".