1140224000 has 208 divisors, whose sum is σ = 3036043296. Its totient is φ = 425984000.

The previous prime is 1140223939. The next prime is 1140224053. The reversal of 1140224000 is 4220411.

It is a super-2 number, since 2×1140224000² = 2600221540352000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8703935 + ... + 8704065.

It is an arithmetic number, because the mean of its divisors is an integer number (14596362).

Almost surely, 2^1140224000 is an apocalyptic number.

1140224000 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 1140224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518021648).

1140224000 is an abundant number, since it is smaller than the sum of its proper divisors (1895819296).

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

1140224000 is an equidigital number, since it uses as much as digits as its factorization.

1140224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1140224000 is about 33767.2030230518. The cubic root of 1140224000 is about 1044.7123434641.

Adding to 1140224000 its reverse (4220411), we get a palindrome (1144444411).

The spelling of 1140224000 in words is "one billion, one hundred forty million, two hundred twenty-four thousand".