11433214144000 has 640 divisors, whose sum is σ = 31619566218240. Its totient is φ = 4088737792000.

The previous prime is 11433214143991. The next prime is 11433214144003. The reversal of 11433214144000 is 44141233411.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 11433214144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11433214144003) 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, 22730047749 + ... + 22730048251.

It is an arithmetic number, because the mean of its divisors is an integer number (49405572216).

Almost surely, 2^{11433214144000} is an apocalyptic number.

11433214144000 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 11433214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809783109120).

11433214144000 is an abundant number, since it is smaller than the sum of its proper divisors (20186352074240).

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

11433214144000 is an equidigital number, since it uses as much as digits as its factorization.

11433214144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11433214144000 its reverse (44141233411), we get a palindrome (11477355377411).

The spelling of 11433214144000 in words is "eleven trillion, four hundred thirty-three billion, two hundred fourteen million, one hundred forty-four thousand".