11413241340000 has 240 divisors, whose sum is σ = 38350837491120. Its totient is φ = 2969297920000.

The previous prime is 11413241339953. The next prime is 11413241340001. The reversal of 11413241340000 is 4314231411.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413241340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140236 + ... + 4779764.

It is an arithmetic number, because the mean of its divisors is an integer number (159795156213).

Almost surely, 2^{11413241340000} is an apocalyptic number.

11413241340000 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 11413241340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19175418745560).

11413241340000 is an abundant number, since it is smaller than the sum of its proper divisors (26937596151120).

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

11413241340000 is an equidigital number, since it uses as much as digits as its factorization.

11413241340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639603 (or 4639580 counting only the distinct ones).

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

Adding to 11413241340000 its reverse (4314231411), we get a palindrome (11417555571411).

The spelling of 11413241340000 in words is "eleven trillion, four hundred thirteen billion, two hundred forty-one million, three hundred forty thousand".