11440144302400 has 168 divisors, whose sum is σ = 30795998376384. Its totient is φ = 4148265369600.

The previous prime is 11440144302373. The next prime is 11440144302407. The reversal of 11440144302400 is 420344104411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440144302407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5292109 + ... + 7133491.

Almost surely, 2^{11440144302400} is an apocalyptic number.

11440144302400 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 11440144302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397999188192).

11440144302400 is an abundant number, since it is smaller than the sum of its proper divisors (19355854073984).

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

11440144302400 is a wasteful number, since it uses less digits than its factorization.

11440144302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841769 (or 1841754 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11440144302400 its reverse (420344104411), we get a palindrome (11860488406811).

The spelling of 11440144302400 in words is "eleven trillion, four hundred forty billion, one hundred forty-four million, three hundred two thousand, four hundred".