11413344111120 has 640 divisors, whose sum is σ = 46335021511680. Its totient is φ = 2527695175680.

The previous prime is 11413344111101. The next prime is 11413344111161. The reversal of 11413344111120 is 2111144331411.

11413344111120 is a `hidden beast` number, since 1 + 1 + 4 + 133 + 4 + 411 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134782714 + ... + 134867366.

It is an arithmetic number, because the mean of its divisors is an integer number (72398471112).

Almost surely, 2^{11413344111120} is an apocalyptic number.

11413344111120 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 11413344111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23167510755840).

11413344111120 is an abundant number, since it is smaller than the sum of its proper divisors (34921677400560).

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

11413344111120 is a wasteful number, since it uses less digits than its factorization.

11413344111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84960 (or 84948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11413344111120 its reverse (2111144331411), we get a palindrome (13524488442531).

The spelling of 11413344111120 in words is "eleven trillion, four hundred thirteen billion, three hundred forty-four million, one hundred eleven thousand, one hundred twenty".