2001144440 has 64 divisors (see below), whose sum is σ = 4708454400. Its totient is φ = 764007552.

The previous prime is 2001144433. The next prime is 2001144491. The reversal of 2001144440 is 444411002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 479081 + ... + 483239.

It is an arithmetic number, because the mean of its divisors is an integer number (73569600).

Almost surely, 2^2001144440 is an apocalyptic number.

2001144440 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 2001144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354227200).

2001144440 is an abundant number, since it is smaller than the sum of its proper divisors (2707309960).

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

2001144440 is a wasteful number, since it uses less digits than its factorization.

2001144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2001144440 is about 44734.1529482788. The cubic root of 2001144440 is about 1260.1613214124.

Adding to 2001144440 its reverse (444411002), we get a palindrome (2445555442).

The spelling of 2001144440 in words is "two billion, one million, one hundred forty-four thousand, four hundred forty".