1103300440000 has 280 divisors, whose sum is σ = 2992787601408. Its totient is φ = 400091520000.

The previous prime is 1103300439991. The next prime is 1103300440013. The reversal of 1103300440000 is 440033011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168516727 + ... + 168523273.

Almost surely, 2^{1103300440000} is an apocalyptic number.

1103300440000 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 1103300440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496393800704).

1103300440000 is an abundant number, since it is smaller than the sum of its proper divisors (1889487161408).

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

1103300440000 is an equidigital number, since it uses as much as digits as its factorization.

1103300440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1103300440000 its reverse (440033011), we get a palindrome (1103740473011).

The spelling of 1103300440000 in words is "one trillion, one hundred three billion, three hundred million, four hundred forty thousand".