11331321441440 has 1152 divisors, whose sum is σ = 37023620465664. Its totient is φ = 3188234649600.

The previous prime is 11331321441389. The next prime is 11331321441457. The reversal of 11331321441440 is 4414412313311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11331321441397 and 11331321441406.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19638338432 + ... + 19638339008.

It is an arithmetic number, because the mean of its divisors is an integer number (32138559432).

Almost surely, 2^{11331321441440} is an apocalyptic number.

11331321441440 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 11331321441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511810232832).

11331321441440 is an abundant number, since it is smaller than the sum of its proper divisors (25692299024224).

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

11331321441440 is a wasteful number, since it uses less digits than its factorization.

11331321441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 11331321441440 its reverse (4414412313311), we get a palindrome (15745733754751).

The spelling of 11331321441440 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-one million, four hundred forty-one thousand, four hundred forty".