1144103240000 has 560 divisors, whose sum is σ = 3445994428800. Its totient is φ = 368022528000.

The previous prime is 1144103239997. The next prime is 1144103240003. The reversal of 1144103240000 is 423014411.

It is an interprime number because it is at equal distance from previous prime (1144103239997) and next prime (1144103240003).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144103240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 579879014 + ... + 579880986.

It is an arithmetic number, because the mean of its divisors is an integer number (6153561480).

Almost surely, 2^{1144103240000} is an apocalyptic number.

1144103240000 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 1144103240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722997214400).

1144103240000 is an abundant number, since it is smaller than the sum of its proper divisors (2301891188800).

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

1144103240000 is a wasteful number, since it uses less digits than its factorization.

1144103240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1144103240000 its reverse (423014411), we get a palindrome (1144526254411).

The spelling of 1144103240000 in words is "one trillion, one hundred forty-four billion, one hundred three million, two hundred forty thousand".