11140451201440 has 144 divisors (see below), whose sum is σ = 29475338322024. Its totient is φ = 3974637455360.

The previous prime is 11140451201389. The next prime is 11140451201441. The reversal of 11140451201440 is 4410215404111.

It can be written as a sum of positive squares in 4 ways, for example, as 7182850247056 + 3957600954384 = 2680084^2 + 1989372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11140451201399 and 11140451201408.

It is not an unprimeable number, because it can be changed into a prime (11140451201441) 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 23 ways as a sum of consecutive naturals, for example, 4402567 + ... + 6454726.

Almost surely, 2^{11140451201440} is an apocalyptic number.

11140451201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140451201440 is an abundant number, since it is smaller than the sum of its proper divisors (18334887120584).

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

11140451201440 is a wasteful number, since it uses less digits than its factorization.

11140451201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857383 (or 10857364 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 11140451201440 its reverse (4410215404111), we get a palindrome (15550666605551).

The spelling of 11140451201440 in words is "eleven trillion, one hundred forty billion, four hundred fifty-one million, two hundred one thousand, four hundred forty".