11400144000 has 768 divisors, whose sum is σ = 45494317440. Its totient is φ = 2515968000.

The previous prime is 11400143899. The next prime is 11400144043. The reversal of 11400144000 is 44100411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87023935 + ... + 87024065.

Almost surely, 2^11400144000 is an apocalyptic number.

11400144000 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 11400144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22747158720).

11400144000 is an abundant number, since it is smaller than the sum of its proper divisors (34094173440).

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

11400144000 is a wasteful number, since it uses less digits than its factorization.

11400144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11400144000 its reverse (44100411), we get a palindrome (11444244411).

The spelling of 11400144000 in words is "eleven billion, four hundred million, one hundred forty-four thousand".