3440000044040 has 128 divisors (see below), whose sum is σ = 9001932226560. Its totient is φ = 1158779913984.

The previous prime is 3440000044037. The next prime is 3440000044069. The reversal of 3440000044040 is 404400000443.

It is a junction number, because it is equal to n+sod(n) for n = 3440000043997 and 3440000044015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193079 + ... + 4132281.

It is an arithmetic number, because the mean of its divisors is an integer number (70327595520).

Almost surely, 2^{3440000044040} 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 3440000044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500966113280).

3440000044040 is an abundant number, since it is smaller than the sum of its proper divisors (5561932182520).

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

3440000044040 is a wasteful number, since it uses less digits than its factorization.

3440000044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939451 (or 939447 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 3440000044040 its reverse (404400000443), we get a palindrome (3844400044483).

The spelling of 3440000044040 in words is "three trillion, four hundred forty billion, forty-four thousand, forty".