2001040543040 has 224 divisors, whose sum is σ = 5951344748544. Its totient is φ = 622588815360.

The previous prime is 2001040543039. The next prime is 2001040543049. The reversal of 2001040543040 is 403450401002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2001040542997 and 2001040543015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001040543049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13800197 + ... + 13944443.

Almost surely, 2^{2001040543040} is an apocalyptic number.

2001040543040 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 2001040543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975672374272).

2001040543040 is an abundant number, since it is smaller than the sum of its proper divisors (3950304205504).

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

2001040543040 is a wasteful number, since it uses less digits than its factorization.

2001040543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144845 (or 144835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 2001040543040 its reverse (403450401002), we get a palindrome (2404490944042).

The spelling of 2001040543040 in words is "two trillion, one billion, forty million, five hundred forty-three thousand, forty".