1106642444800 has 240 divisors, whose sum is σ = 3055879902240. Its totient is φ = 394689576960.

The previous prime is 1106642444779. The next prime is 1106642444801. The reversal of 1106642444800 is 84442466011.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1106642444801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000567 + ... + 4268233.

It is an arithmetic number, because the mean of its divisors is an integer number (12732832926).

Almost surely, 2^{1106642444800} is an apocalyptic number.

1106642444800 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 1106642444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527939951120).

1106642444800 is an abundant number, since it is smaller than the sum of its proper divisors (1949237457440).

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

1106642444800 is a wasteful number, since it uses less digits than its factorization.

1106642444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267731 (or 267710 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 1106642444800 in words is "one trillion, one hundred six billion, six hundred forty-two million, four hundred forty-four thousand, eight hundred".