3444011211040 has 192 divisors, whose sum is σ = 8612117821440. Its totient is φ = 1299391488000.

The previous prime is 3444011211037. The next prime is 3444011211077. The reversal of 3444011211040 is 401121104443.

It is a super-2 number, since 2×3444011211040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444011210996 and 3444011211014.

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 31 ways as a sum of consecutive naturals, for example, 225518605 + ... + 225533875.

It is an arithmetic number, because the mean of its divisors is an integer number (44854780320).

Almost surely, 2^{3444011211040} 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 3444011211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306058910720).

3444011211040 is an abundant number, since it is smaller than the sum of its proper divisors (5168106610400).

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

3444011211040 is a wasteful number, since it uses less digits than its factorization.

3444011211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16467 (or 16459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 3444011211040 its reverse (401121104443), we get a palindrome (3845132315483).

The spelling of 3444011211040 in words is "three trillion, four hundred forty-four billion, eleven million, two hundred eleven thousand, forty".