1103330221440 has 128 divisors (see below), whose sum is σ = 3517988094720. Its totient is φ = 294127441920.

The previous prime is 1103330221421. The next prime is 1103330221447. The reversal of 1103330221440 is 441220333011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1103330221440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103330221447) 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, 6028885 + ... + 6209195.

It is an arithmetic number, because the mean of its divisors is an integer number (27484281990).

Almost surely, 2^{1103330221440} is an apocalyptic number.

1103330221440 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 1103330221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758994047360).

1103330221440 is an abundant number, since it is smaller than the sum of its proper divisors (2414657873280).

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

1103330221440 is a wasteful number, since it uses less digits than its factorization.

1103330221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183520 (or 183508 counting only the distinct ones).

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

Adding to 1103330221440 its reverse (441220333011), we get a palindrome (1544550554451).

The spelling of 1103330221440 in words is "one trillion, one hundred three billion, three hundred thirty million, two hundred twenty-one thousand, four hundred forty".