3241101411000 has 256 divisors, whose sum is σ = 11239525440000. Its totient is φ = 864008553600.

The previous prime is 3241101410969. The next prime is 3241101411013. The reversal of 3241101411000 is 1141011423.

3241101411000 is a `hidden beast` number, since 3 + 241 + 10 + 1 + 411 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89270851 + ... + 89307149.

It is an arithmetic number, because the mean of its divisors is an integer number (43904396250).

Almost surely, 2^{3241101411000} is an apocalyptic number.

3241101411000 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 3241101411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619762720000).

3241101411000 is an abundant number, since it is smaller than the sum of its proper divisors (7998424029000).

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

3241101411000 is a wasteful number, since it uses less digits than its factorization.

3241101411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39636 (or 39616 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3241101411000 its reverse (1141011423), we get a palindrome (3242242422423).

The spelling of 3241101411000 in words is "three trillion, two hundred forty-one billion, one hundred one million, four hundred eleven thousand".