11453641330440 has 256 divisors, whose sum is σ = 35132729425920. Its totient is φ = 2986510008320.

The previous prime is 11453641330393. The next prime is 11453641330447. The reversal of 11453641330440 is 4403314635411.

It is not an unprimeable number, because it can be changed into a prime (11453641330447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1296976825 + ... + 1296985655.

It is an arithmetic number, because the mean of its divisors is an integer number (137237224320).

Almost surely, 2^{11453641330440} is an apocalyptic number.

11453641330440 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 11453641330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566364712960).

11453641330440 is an abundant number, since it is smaller than the sum of its proper divisors (23679088095480).

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

11453641330440 is a wasteful number, since it uses less digits than its factorization.

11453641330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 11453641330440 its reverse (4403314635411), we get a palindrome (15856955965851).

The spelling of 11453641330440 in words is "eleven trillion, four hundred fifty-three billion, six hundred forty-one million, three hundred thirty thousand, four hundred forty".