11424330720 has 480 divisors, whose sum is σ = 44400254976. Its totient is φ = 2743372800.

The previous prime is 11424330653. The next prime is 11424330721. The reversal of 11424330720 is 2703342411.

It is a happy number.

11424330720 is a `hidden beast` number, since 114 + 243 + 307 + 2 + 0 = 666.

11424330720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424330721) 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 79 ways as a sum of consecutive naturals, for example, 18104805 + ... + 18105435.

Almost surely, 2^11424330720 is an apocalyptic number.

11424330720 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 11424330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22200127488).

11424330720 is an abundant number, since it is smaller than the sum of its proper divisors (32975924256).

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

11424330720 is a wasteful number, since it uses less digits than its factorization.

11424330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 11424330720 in words is "eleven billion, four hundred twenty-four million, three hundred thirty thousand, seven hundred twenty".