11001450235440 has 480 divisors, whose sum is σ = 41784473479680. Its totient is φ = 2382800437248.

The previous prime is 11001450235439. The next prime is 11001450235471. The reversal of 11001450235440 is 4453205410011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11001450235398 and 11001450235407.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28751296 + ... + 29131424.

It is an arithmetic number, because the mean of its divisors is an integer number (87050986416).

Almost surely, 2^{11001450235440} is an apocalyptic number.

11001450235440 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 11001450235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892236739840).

11001450235440 is an abundant number, since it is smaller than the sum of its proper divisors (30783023244240).

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

11001450235440 is a wasteful number, since it uses less digits than its factorization.

11001450235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380289 (or 380276 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 11001450235440 its reverse (4453205410011), we get a palindrome (15454655645451).

The spelling of 11001450235440 in words is "eleven trillion, one billion, four hundred fifty million, two hundred thirty-five thousand, four hundred forty".