1144200321000 has 1152 divisors, whose sum is σ = 4437013744800. Its totient is φ = 265503744000.

The previous prime is 1144200320999. The next prime is 1144200321001. The reversal of 1144200321000 is 1230024411.

1144200321000 is a `hidden beast` number, since 1 + 144 + 200 + 321 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1144200320999) and next prime (1144200321001).

It can be written as a sum of positive squares in 16 ways, for example, as 9323447364 + 1134876873636 = 96558^2 + 1065306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1144200321001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2941388806 + ... + 2941389194.

Almost surely, 2^{1144200321000} is an apocalyptic number.

1144200321000 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 1144200321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218506872400).

1144200321000 is an abundant number, since it is smaller than the sum of its proper divisors (3292813423800).

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

1144200321000 is a wasteful number, since it uses less digits than its factorization.

1144200321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

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

Adding to 1144200321000 its reverse (1230024411), we get a palindrome (1145430345411).

The spelling of 1144200321000 in words is "one trillion, one hundred forty-four billion, two hundred million, three hundred twenty-one thousand".