11444113300440 has 192 divisors, whose sum is σ = 36485921181600. Its totient is φ = 2871048241152.

The previous prime is 11444113300429. The next prime is 11444113300441. The reversal of 11444113300440 is 4400331144411.

11444113300440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11444113300398 and 11444113300407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444113300441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84447456 + ... + 84582864.

Almost surely, 2^{11444113300440} is an apocalyptic number.

11444113300440 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 11444113300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242960590800).

11444113300440 is an abundant number, since it is smaller than the sum of its proper divisors (25041807881160).

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

11444113300440 is a wasteful number, since it uses less digits than its factorization.

11444113300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137894 (or 137873 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11444113300440 its reverse (4400331144411), we get a palindrome (15844444444851).

The spelling of 11444113300440 in words is "eleven trillion, four hundred forty-four billion, one hundred thirteen million, three hundred thousand, four hundred forty".