11444302544400 has 480 divisors, whose sum is σ = 45469683325440. Its totient is φ = 2709854784000.

The previous prime is 11444302544387. The next prime is 11444302544419. The reversal of 11444302544400 is 444520344411.

11444302544400 is a `hidden beast` number, since 1 + 1 + 4 + 44 + 30 + 2 + 544 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3988255 + ... + 6228545.

It is an arithmetic number, because the mean of its divisors is an integer number (94728506928).

Almost surely, 2^{11444302544400} is an apocalyptic number.

11444302544400 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 11444302544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734841662720).

11444302544400 is an abundant number, since it is smaller than the sum of its proper divisors (34025380781040).

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

11444302544400 is a wasteful number, since it uses less digits than its factorization.

11444302544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240372 (or 2240355 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 11444302544400 its reverse (444520344411), we get a palindrome (11888822888811).

The spelling of 11444302544400 in words is "eleven trillion, four hundred forty-four billion, three hundred two million, five hundred forty-four thousand, four hundred".