1144341004000 has 96 divisors (see below), whose sum is σ = 2826215866656. Its totient is φ = 455364403200.

The previous prime is 1144341003931. The next prime is 1144341004003. The reversal of 1144341004000 is 4001434411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144341004003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30847 + ... + 1513153.

It is an arithmetic number, because the mean of its divisors is an integer number (29439748611).

Almost surely, 2^{1144341004000} is an apocalyptic number.

1144341004000 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 1144341004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413107933328).

1144341004000 is an abundant number, since it is smaller than the sum of its proper divisors (1681874862656).

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

1144341004000 is a wasteful number, since it uses less digits than its factorization.

1144341004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482525 (or 1482507 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1144341004000 its reverse (4001434411), we get a palindrome (1148342438411).

The spelling of 1144341004000 in words is "one trillion, one hundred forty-four billion, three hundred forty-one million, four thousand".