2002043320040 has 128 divisors (see below), whose sum is σ = 4967478316800. Its totient is φ = 723010498560.

The previous prime is 2002043319973. The next prime is 2002043320063. The reversal of 2002043320040 is 400233402002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002043319994 and 2002043320021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225991 + ... + 2346729.

It is an arithmetic number, because the mean of its divisors is an integer number (38808424350).

Almost surely, 2^{2002043320040} is an apocalyptic number.

2002043320040 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 2002043320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483739158400).

2002043320040 is an abundant number, since it is smaller than the sum of its proper divisors (2965434996760).

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

2002043320040 is a wasteful number, since it uses less digits than its factorization.

2002043320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120875 (or 1120871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2002043320040 its reverse (400233402002), we get a palindrome (2402276722042).

The spelling of 2002043320040 in words is "two trillion, two billion, forty-three million, three hundred twenty thousand, forty".