1140718800 has 240 divisors, whose sum is σ = 3987119808. Its totient is φ = 277094400.

The previous prime is 1140718783. The next prime is 1140718801. The reversal of 1140718800 is 88170411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140718801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294360 + ... + 1295240.

Almost surely, 2^1140718800 is an apocalyptic number.

1140718800 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 1140718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993559904).

1140718800 is an abundant number, since it is smaller than the sum of its proper divisors (2846401008).

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

1140718800 is a wasteful number, since it uses less digits than its factorization.

1140718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 1140718800 is about 33774.5288642196. The cubic root of 1140718800 is about 1044.8634391882.

The spelling of 1140718800 in words is "one billion, one hundred forty million, seven hundred eighteen thousand, eight hundred".