11341040213040 has 320 divisors, whose sum is σ = 36042693120000. Its totient is φ = 2948977880064.

The previous prime is 11341040212967. The next prime is 11341040213047. The reversal of 11341040213040 is 4031204014311.

It is a super-2 number, since 2×11341040213040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11341040213040.

It is not an unprimeable number, because it can be changed into a prime (11341040213047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3186578781 + ... + 3186582339.

It is an arithmetic number, because the mean of its divisors is an integer number (112633416000).

Almost surely, 2^{11341040213040} is an apocalyptic number.

11341040213040 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 11341040213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021346560000).

11341040213040 is an abundant number, since it is smaller than the sum of its proper divisors (24701652906960).

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

11341040213040 is a wasteful number, since it uses less digits than its factorization.

11341040213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11341040213040 its reverse (4031204014311), we get a palindrome (15372244227351).

The spelling of 11341040213040 in words is "eleven trillion, three hundred forty-one billion, forty million, two hundred thirteen thousand, forty".