1133040240000 has 240 divisors, whose sum is σ = 4074250057020. Its totient is φ = 302143872000.

The previous prime is 1133040239999. The next prime is 1133040240077. The reversal of 1133040240000 is 420403311.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66834 + ... + 1506833.

Almost surely, 2^{1133040240000} is an apocalyptic number.

1133040240000 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 1133040240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037125028510).

1133040240000 is an abundant number, since it is smaller than the sum of its proper divisors (2941209817020).

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

1133040240000 is an equidigital number, since it uses as much as digits as its factorization.

1133040240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573707 (or 1573677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1133040240000 its reverse (420403311), we get a palindrome (1133460643311).

The spelling of 1133040240000 in words is "one trillion, one hundred thirty-three billion, forty million, two hundred forty thousand".