1144103300340 has 384 divisors, whose sum is σ = 4417445265408. Its totient is φ = 213516933120.

The previous prime is 1144103300339. The next prime is 1144103300341. The reversal of 1144103300340 is 430033014411.

It is an interprime number because it is at equal distance from previous prime (1144103300339) and next prime (1144103300341).

It is a self number, because there is not a number n which added to its sum of digits gives 1144103300340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144103300341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1964797 + ... + 2479643.

It is an arithmetic number, because the mean of its divisors is an integer number (11503763712).

Almost surely, 2^{1144103300340} is an apocalyptic number.

1144103300340 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 1144103300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208722632704).

1144103300340 is an abundant number, since it is smaller than the sum of its proper divisors (3273341965068).

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

1144103300340 is a wasteful number, since it uses less digits than its factorization.

1144103300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514927 (or 514925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1144103300340 its reverse (430033014411), we get a palindrome (1574136314751).

The spelling of 1144103300340 in words is "one trillion, one hundred forty-four billion, one hundred three million, three hundred thousand, three hundred forty".