1143188640 has 396 divisors, whose sum is σ = 4452919002. Its totient is φ = 277136640.

The previous prime is 1143188623. The next prime is 1143188693. The reversal of 1143188640 is 468813411.

It is a happy number.

1143188640 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 8 + 8 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1028869776 + 114318864 = 32076^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1143188595 and 1143188604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 103926235 + ... + 103926245.

Almost surely, 2^1143188640 is an apocalyptic number.

1143188640 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 1143188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226459501).

1143188640 is an abundant number, since it is smaller than the sum of its proper divisors (3309730362).

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

1143188640 is an frugal number, since it uses more digits than its factorization.

1143188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1143188640 is about 33811.0727425203. The cubic root of 1143188640 is about 1045.6169948262.

It can be divided in two parts, 1143188 and 640, that added together give a triangular number (1143828 = T₁₅₁₂).

The spelling of 1143188640 in words is "one billion, one hundred forty-three million, one hundred eighty-eight thousand, six hundred forty".