1108416000 has 320 divisors, whose sum is σ = 3860752896. Its totient is φ = 281600000.

The previous prime is 1108415951. The next prime is 1108416007. The reversal of 1108416000 is 6148011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415875 + ... + 4416125.

Almost surely, 2^1108416000 is an apocalyptic number.

1108416000 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 1108416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

1108416000 is an abundant number, since it is smaller than the sum of its proper divisors (2752336896).

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

1108416000 is an equidigital number, since it uses as much as digits as its factorization.

1108416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1108416000 is about 33292.8821221594. The cubic root of 1108416000 is about 1034.9060569592.

The spelling of 1108416000 in words is "one billion, one hundred eight million, four hundred sixteen thousand".