11144326633440 has 1536 divisors, whose sum is σ = 48554934865920. Its totient is φ = 2073467289600.

The previous prime is 11144326633411. The next prime is 11144326633471. The reversal of 11144326633440 is 4433662344111.

It is a super-2 number, since 2×11144326633440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11144326633392 and 11144326633401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7484436216 + ... + 7484437704.

It is an arithmetic number, because the mean of its divisors is an integer number (31611285720).

Almost surely, 2^{11144326633440} is an apocalyptic number.

11144326633440 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 11144326633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277467432960).

11144326633440 is an abundant number, since it is smaller than the sum of its proper divisors (37410608232480).

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

11144326633440 is a wasteful number, since it uses less digits than its factorization.

11144326633440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 11144326633440 its reverse (4433662344111), we get a palindrome (15577988977551).

The spelling of 11144326633440 in words is "eleven trillion, one hundred forty-four billion, three hundred twenty-six million, six hundred thirty-three thousand, four hundred forty".