11424438144 has 384 divisors, whose sum is σ = 39319188480. Its totient is φ = 3115929600.

The previous prime is 11424438133. The next prime is 11424438203. The reversal of 11424438144 is 44183442411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11424438099 and 11424438108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16296994 + ... + 16297694.

It is an arithmetic number, because the mean of its divisors is an integer number (102393720).

Almost surely, 2^11424438144 is an apocalyptic number.

11424438144 is a gapful number since it is divisible by the number (14) 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 11424438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659594240).

11424438144 is an abundant number, since it is smaller than the sum of its proper divisors (27894750336).

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

11424438144 is a wasteful number, since it uses less digits than its factorization.

11424438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 11424438144 in words is "eleven billion, four hundred twenty-four million, four hundred thirty-eight thousand, one hundred forty-four".