1144311041000 has 32 divisors (see below), whose sum is σ = 2677687838280. Its totient is φ = 457724416000.

The previous prime is 1144311040993. The next prime is 1144311041033. The reversal of 1144311041000 is 1401134411.

It can be written as a sum of positive squares in 4 ways, for example, as 203345079844 + 940965961156 = 450938^2 + 970034^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572154521 + ... + 572156520.

Almost surely, 2^{1144311041000} is an apocalyptic number.

1144311041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144311041000 is an abundant number, since it is smaller than the sum of its proper divisors (1533376797280).

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

1144311041000 is a wasteful number, since it uses less digits than its factorization.

1144311041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144311062 (or 1144311048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1144311041000 its reverse (1401134411), we get a palindrome (1145712175411).

The spelling of 1144311041000 in words is "one trillion, one hundred forty-four billion, three hundred eleven million, forty-one thousand".