2001035441344 has 112 divisors (see below), whose sum is σ = 4179695260608. Its totient is φ = 948665253888.

The previous prime is 2001035441309. The next prime is 2001035441359. The reversal of 2001035441344 is 4431445301002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147812944 + ... + 147826480.

It is an arithmetic number, because the mean of its divisors is an integer number (37318707684).

Almost surely, 2^{2001035441344} 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 2001035441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089847630304).

2001035441344 is an abundant number, since it is smaller than the sum of its proper divisors (2178659819264).

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

2001035441344 is a wasteful number, since it uses less digits than its factorization.

2001035441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442 (or 14432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 2001035441344 in words is "two trillion, one billion, thirty-five million, four hundred forty-one thousand, three hundred forty-four".