1001343033240 has 256 divisors, whose sum is σ = 3356246016000. Its totient is φ = 236917870080.

The previous prime is 1001343033151. The next prime is 1001343033241. The reversal of 1001343033240 is 423303431001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1001343033240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001343033241) 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 63 ways as a sum of consecutive naturals, for example, 22249881 + ... + 22294839.

It is an arithmetic number, because the mean of its divisors is an integer number (13110336000).

Almost surely, 2^{1001343033240} is an apocalyptic number.

1001343033240 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 1001343033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678123008000).

1001343033240 is an abundant number, since it is smaller than the sum of its proper divisors (2354902982760).

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

1001343033240 is a wasteful number, since it uses less digits than its factorization.

1001343033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45390 (or 45386 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1001343033240 its reverse (423303431001), we get a palindrome (1424646464241).

The spelling of 1001343033240 in words is "one trillion, one billion, three hundred forty-three million, thirty-three thousand, two hundred forty".