11021341536040 has 384 divisors, whose sum is σ = 29398224240000. Its totient is φ = 3703597793280.

The previous prime is 11021341536001. The next prime is 11021341536043. The reversal of 11021341536040 is 4063514312011.

It is a junction number, because it is equal to n+sod(n) for n = 11021341535993 and 11021341536011.

It is not an unprimeable number, because it can be changed into a prime (11021341536043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4148038392 + ... + 4148041048.

It is an arithmetic number, because the mean of its divisors is an integer number (76557875625).

Almost surely, 2^{11021341536040} is an apocalyptic number.

11021341536040 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 11021341536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699112120000).

11021341536040 is an abundant number, since it is smaller than the sum of its proper divisors (18376882703960).

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

11021341536040 is a wasteful number, since it uses less digits than its factorization.

11021341536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 11021341536040 its reverse (4063514312011), we get a palindrome (15084855848051).

The spelling of 11021341536040 in words is "eleven trillion, twenty-one billion, three hundred forty-one million, five hundred thirty-six thousand, forty".