11411410313440 has 96 divisors (see below), whose sum is σ = 27897434208000. Its totient is φ = 4405847298048.

The previous prime is 11411410313423. The next prime is 11411410313449. The reversal of 11411410313440 is 4431301411411.

It is a junction number, because it is equal to n+sod(n) for n = 11411410313399 and 11411410313408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411410313449) 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 15 ways as a sum of consecutive naturals, for example, 15219676 + ... + 15951844.

It is an arithmetic number, because the mean of its divisors is an integer number (290598273000).

Almost surely, 2^{11411410313440} is an apocalyptic number.

11411410313440 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 11411410313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948717104000).

11411410313440 is an abundant number, since it is smaller than the sum of its proper divisors (16486023894560).

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

11411410313440 is a wasteful number, since it uses less digits than its factorization.

11411410313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735572 (or 735564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11411410313440 its reverse (4431301411411), we get a palindrome (15842711724851).

The spelling of 11411410313440 in words is "eleven trillion, four hundred eleven billion, four hundred ten million, three hundred thirteen thousand, four hundred forty".