1140220800 has 480 divisors, whose sum is σ = 4338706680. Its totient is φ = 294727680.

The previous prime is 1140220777. The next prime is 1140220813. The reversal of 1140220800 is 80220411.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13737559 + ... + 13737641.

Almost surely, 2^1140220800 is an apocalyptic number.

1140220800 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 1140220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169353340).

1140220800 is an abundant number, since it is smaller than the sum of its proper divisors (3198485880).

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

1140220800 is an equidigital number, since it uses as much as digits as its factorization.

1140220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1140220800 is about 33767.1556397633. The cubic root of 1140220800 is about 1044.7113661466.

The spelling of 1140220800 in words is "one billion, one hundred forty million, two hundred twenty thousand, eight hundred".