3404442240144 has 240 divisors, whose sum is σ = 10931596475904. Its totient is φ = 979532236800.

The previous prime is 3404442240119. The next prime is 3404442240161. The reversal of 3404442240144 is 4410422444043.

It is a happy number.

3404442240144 is a `hidden beast` number, since 3 + 404 + 4 + 4 + 2 + 240 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3404442240099 and 3404442240108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948444 + ... + 3256580.

Almost surely, 2^{3404442240144} 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 3404442240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465798237952).

3404442240144 is an abundant number, since it is smaller than the sum of its proper divisors (7527154235760).

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

3404442240144 is a wasteful number, since it uses less digits than its factorization.

3404442240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308246 (or 1308237 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 3404442240144 its reverse (4410422444043), we get a palindrome (7814864684187).

The spelling of 3404442240144 in words is "three trillion, four hundred four billion, four hundred forty-two million, two hundred forty thousand, one hundred forty-four".