2001041440 has 96 divisors (see below), whose sum is σ = 5029516800. Its totient is φ = 749727744.

The previous prime is 2001041429. The next prime is 2001041467. The reversal of 2001041440 is 441401002.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 604911 + ... + 608209.

It is an arithmetic number, because the mean of its divisors is an integer number (52390800).

Almost surely, 2^2001041440 is an apocalyptic number.

2001041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

2001041440 is an abundant number, since it is smaller than the sum of its proper divisors (3028475360).

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

2001041440 is a wasteful number, since it uses less digits than its factorization.

2001041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001041440 is about 44733.0016877920. The cubic root of 2001041440 is about 1260.1397006437.

Adding to 2001041440 its reverse (441401002), we get a palindrome (2442442442).

The spelling of 2001041440 in words is "two billion, one million, forty-one thousand, four hundred forty".