11330134251040 has 384 divisors, whose sum is σ = 29914224721920. Its totient is φ = 4021000704000.

The previous prime is 11330134251017. The next prime is 11330134251043. The reversal of 11330134251040 is 4015243103311.

It is not an unprimeable number, because it can be changed into a prime (11330134251043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3679808221 + ... + 3679811299.

It is an arithmetic number, because the mean of its divisors is an integer number (77901626880).

Almost surely, 2^{11330134251040} is an apocalyptic number.

11330134251040 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 11330134251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14957112360960).

11330134251040 is an abundant number, since it is smaller than the sum of its proper divisors (18584090470880).

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

11330134251040 is a wasteful number, since it uses less digits than its factorization.

11330134251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 11330134251040 its reverse (4015243103311), we get a palindrome (15345377354351).

The spelling of 11330134251040 in words is "eleven trillion, three hundred thirty billion, one hundred thirty-four million, two hundred fifty-one thousand, forty".