11131323144040 has 384 divisors, whose sum is σ = 29335731223680. Its totient is φ = 3767373209600.

The previous prime is 11131323143977. The next prime is 11131323144041. The reversal of 11131323144040 is 4044132313111.

It is not an unprimeable number, because it can be changed into a prime (11131323144041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4227618564 + ... + 4227621196.

It is an arithmetic number, because the mean of its divisors is an integer number (76395133395).

Almost surely, 2^{11131323144040} is an apocalyptic number.

11131323144040 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 11131323144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667865611840).

11131323144040 is an abundant number, since it is smaller than the sum of its proper divisors (18204408079640).

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

11131323144040 is a wasteful number, since it uses less digits than its factorization.

11131323144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11131323144040 its reverse (4044132313111), we get a palindrome (15175455457151).

The spelling of 11131323144040 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred forty-four thousand, forty".