3404141120000 has 200 divisors, whose sum is σ = 8509924293156. Its totient is φ = 1359958016000.

The previous prime is 3404141119987. The next prime is 3404141120053. The reversal of 3404141120000 is 211414043.

It can be written as a sum of positive squares in 10 ways, for example, as 58285547776 + 3345855572224 = 241424^2 + 1829168^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

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 19 ways as a sum of consecutive naturals, for example, 274233794 + ... + 274246206.

Almost surely, 2^{3404141120000} 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 3404141120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254962146578).

3404141120000 is an abundant number, since it is smaller than the sum of its proper divisors (5105783173156).

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

3404141120000 is an frugal number, since it uses more digits than its factorization.

3404141120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13308 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3404141120000 its reverse (211414043), we get a palindrome (3404352534043).

The spelling of 3404141120000 in words is "three trillion, four hundred four billion, one hundred forty-one million, one hundred twenty thousand".