11340484341120 has 1536 divisors, whose sum is σ = 45954507755520. Its totient is φ = 2647572480000.

The previous prime is 11340484341113. The next prime is 11340484341127. The reversal of 11340484341120 is 2114348404311.

11340484341120 is a `hidden beast` number, since 1 + 1 + 34 + 0 + 484 + 34 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11340484341113) and next prime (11340484341127).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340484341127) 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 191 ways as a sum of consecutive naturals, for example, 14902081540 + ... + 14902082300.

It is an arithmetic number, because the mean of its divisors is an integer number (29918299320).

Almost surely, 2^{11340484341120} is an apocalyptic number.

11340484341120 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 11340484341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22977253877760).

11340484341120 is an abundant number, since it is smaller than the sum of its proper divisors (34614023414400).

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

11340484341120 is a wasteful number, since it uses less digits than its factorization.

11340484341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11340484341120 in words is "eleven trillion, three hundred forty billion, four hundred eighty-four million, three hundred forty-one thousand, one hundred twenty".