1113840000 has 960 divisors, whose sum is σ = 5219454240. Its totient is φ = 221184000.

The previous prime is 1113839953. The next prime is 1113840001. The reversal of 1113840000 is 483111.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113840001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65519992 + ... + 65520008.

Almost surely, 2^1113840000 is an apocalyptic number.

1113840000 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 1113840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609727120).

1113840000 is an abundant number, since it is smaller than the sum of its proper divisors (4105614240).

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

1113840000 is a wasteful number, since it uses less digits than its factorization.

1113840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1113840000 is about 33374.2415644161. The cubic root of 1113840000 is about 1036.5914046516.

The spelling of 1113840000 in words is "one billion, one hundred thirteen million, eight hundred forty thousand".