2001040100440 has 32 divisors (see below), whose sum is σ = 4535204035680. Its totient is φ = 794573585152.

The previous prime is 2001040100419. The next prime is 2001040100441. The reversal of 2001040100440 is 440010401002.

It is a super-2 number, since 2×2001040100440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001040100441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182571172 + ... + 182582131.

It is an arithmetic number, because the mean of its divisors is an integer number (141725126115).

Almost surely, 2^{2001040100440} is an apocalyptic number.

2001040100440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001040100440 is an abundant number, since it is smaller than the sum of its proper divisors (2534163935240).

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

2001040100440 is a wasteful number, since it uses less digits than its factorization.

2001040100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365153451 (or 365153447 counting only the distinct ones).

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

Adding to 2001040100440 its reverse (440010401002), we get a palindrome (2441050501442).

The spelling of 2001040100440 in words is "two trillion, one billion, forty million, one hundred thousand, four hundred forty".