1105311440000 has 320 divisors, whose sum is σ = 2925188640000. Its totient is φ = 414443520000.

The previous prime is 1105311439997. The next prime is 1105311440027. The reversal of 1105311440000 is 441135011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 368558501 + ... + 368561499.

It is an arithmetic number, because the mean of its divisors is an integer number (9141214500).

Almost surely, 2^{1105311440000} is an apocalyptic number.

1105311440000 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 1105311440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462594320000).

1105311440000 is an abundant number, since it is smaller than the sum of its proper divisors (1819877200000).

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

1105311440000 is an equidigital number, since it uses as much as digits as its factorization.

1105311440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1105311440000 its reverse (441135011), we get a palindrome (1105752575011).

The spelling of 1105311440000 in words is "one trillion, one hundred five billion, three hundred eleven million, four hundred forty thousand".