1109248800 has 144 divisors (see below), whose sum is σ = 3938935392. Its totient is φ = 268902400.

The previous prime is 1109248787. The next prime is 1109248801. The reversal of 1109248800 is 88429011.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1109248801) 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, 5392 + ... + 47408.

It is an arithmetic number, because the mean of its divisors is an integer number (27353718).

Almost surely, 2^1109248800 is an apocalyptic number.

1109248800 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 1109248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969467696).

1109248800 is an abundant number, since it is smaller than the sum of its proper divisors (2829686592).

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

1109248800 is a wasteful number, since it uses less digits than its factorization.

1109248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42051 (or 42038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1109248800 is about 33305.3869516629. The cubic root of 1109248800 is about 1035.1651816925.

The spelling of 1109248800 in words is "one billion, one hundred nine million, two hundred forty-eight thousand, eight hundred".