3440741745040 has 40 divisors (see below), whose sum is σ = 8006498464248. Its totient is φ = 1375131294720.

The previous prime is 3440741745031. The next prime is 3440741745041. The reversal of 3440741745040 is 405471470443.

It can be written as a sum of positive squares in 4 ways, for example, as 2024860696576 + 1415881048464 = 1422976^2 + 1189908^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3440741745041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18114357 + ... + 18303316.

Almost surely, 2^{3440741745040} is an apocalyptic number.

It is an amenable number.

3440741745040 is an abundant number, since it is smaller than the sum of its proper divisors (4565756719208).

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

3440741745040 is a wasteful number, since it uses less digits than its factorization.

3440741745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36418867 (or 36418861 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 3440741745040 in words is "three trillion, four hundred forty billion, seven hundred forty-one million, seven hundred forty-five thousand, forty".