11413333401120 has 288 divisors, whose sum is σ = 44769301903872. Its totient is φ = 2593681975296.

The previous prime is 11413333401089. The next prime is 11413333401133. The reversal of 11413333401120 is 2110433331411.

11413333401120 is a `hidden beast` number, since 1 + 1 + 4 + 133 + 3 + 3 + 401 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1528632 + ... + 5016311.

It is an arithmetic number, because the mean of its divisors is an integer number (155448964944).

Almost surely, 2^{11413333401120} is an apocalyptic number.

11413333401120 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 11413333401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384650951936).

11413333401120 is an abundant number, since it is smaller than the sum of its proper divisors (33355968502752).

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

11413333401120 is a wasteful number, since it uses less digits than its factorization.

11413333401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545144 (or 6545133 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11413333401120 its reverse (2110433331411), we get a palindrome (13523766732531).

The spelling of 11413333401120 in words is "eleven trillion, four hundred thirteen billion, three hundred thirty-three million, four hundred one thousand, one hundred twenty".