1134001220240 has 160 divisors (see below), whose sum is σ = 3166837309440. Its totient is φ = 369219958272.

The previous prime is 1134001220201. The next prime is 1134001220251. The reversal of 1134001220240 is 420221004311.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 1473617 + ... + 2107023.

It is an arithmetic number, because the mean of its divisors is an integer number (19792733184).

Almost surely, 2^{1134001220240} is an apocalyptic number.

1134001220240 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 1134001220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583418654720).

1134001220240 is an abundant number, since it is smaller than the sum of its proper divisors (2032836089200).

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

1134001220240 is a wasteful number, since it uses less digits than its factorization.

1134001220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633589 (or 633583 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1134001220240 its reverse (420221004311), we get a palindrome (1554222224551).

The spelling of 1134001220240 in words is "one trillion, one hundred thirty-four billion, one million, two hundred twenty thousand, two hundred forty".