2003144141040 has 320 divisors, whose sum is σ = 7144990310400. Its totient is φ = 454764119040.

The previous prime is 2003144141021. The next prime is 2003144141059. The reversal of 2003144141040 is 401414413002.

It is an interprime number because it is at equal distance from previous prime (2003144141021) and next prime (2003144141059).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2003144141040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202927305 + ... + 202937175.

It is an arithmetic number, because the mean of its divisors is an integer number (22328094720).

Almost surely, 2^{2003144141040} is an apocalyptic number.

2003144141040 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 2003144141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572495155200).

2003144141040 is an abundant number, since it is smaller than the sum of its proper divisors (5141846169360).

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

2003144141040 is a wasteful number, since it uses less digits than its factorization.

2003144141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10694 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2003144141040 its reverse (401414413002), we get a palindrome (2404558554042).

The spelling of 2003144141040 in words is "two trillion, three billion, one hundred forty-four million, one hundred forty-one thousand, forty".