1106344189440 has 1600 divisors, whose sum is σ = 4882556067840. Its totient is φ = 233862266880.

The previous prime is 1106344189411. The next prime is 1106344189441. The reversal of 1106344189440 is 449814436011.

1106344189440 is a `hidden beast` number, since 1 + 1 + 0 + 634 + 4 + 1 + 8 + 9 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106344189441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1034933226 + ... + 1034934294.

Almost surely, 2^{1106344189440} is an apocalyptic number.

1106344189440 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 1106344189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441278033920).

1106344189440 is an abundant number, since it is smaller than the sum of its proper divisors (3776211878400).

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

1106344189440 is a wasteful number, since it uses less digits than its factorization.

1106344189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1106344189440 in words is "one trillion, one hundred six billion, three hundred forty-four million, one hundred eighty-nine thousand, four hundred forty".