11133321201440 has 192 divisors, whose sum is σ = 27873845193600. Its totient is φ = 4190511366144.

The previous prime is 11133321201437. The next prime is 11133321201461. The reversal of 11133321201440 is 4410212333111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383113631 + ... + 383142689.

It is an arithmetic number, because the mean of its divisors is an integer number (145176277050).

Almost surely, 2^{11133321201440} is an apocalyptic number.

11133321201440 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 11133321201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936922596800).

11133321201440 is an abundant number, since it is smaller than the sum of its proper divisors (16740523992160).

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

11133321201440 is a wasteful number, since it uses less digits than its factorization.

11133321201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29939 (or 29931 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11133321201440 its reverse (4410212333111), we get a palindrome (15543533534551).

The spelling of 11133321201440 in words is "eleven trillion, one hundred thirty-three billion, three hundred twenty-one million, two hundred one thousand, four hundred forty".