1003141044000 has 768 divisors, whose sum is σ = 3826334453760. Its totient is φ = 254790835200.

The previous prime is 1003141043999. The next prime is 1003141044013. The reversal of 1003141044000 is 4401413001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 702971287 + ... + 702972713.

It is an arithmetic number, because the mean of its divisors is an integer number (4982206320).

Almost surely, 2^{1003141044000} is an apocalyptic number.

1003141044000 is a gapful number since it is divisible by the number (10) 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 1003141044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913167226880).

1003141044000 is an abundant number, since it is smaller than the sum of its proper divisors (2823193409760).

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

1003141044000 is a wasteful number, since it uses less digits than its factorization.

1003141044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1003141044000 its reverse (4401413001), we get a palindrome (1007542457001).

The spelling of 1003141044000 in words is "one trillion, three billion, one hundred forty-one million, forty-four thousand".