11440304331400 has 288 divisors, whose sum is σ = 32634864360000. Its totient is φ = 3708530542080.

The previous prime is 11440304331373. The next prime is 11440304331451. The reversal of 11440304331400 is 413340304411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93597526 + ... + 93719674.

It is an arithmetic number, because the mean of its divisors is an integer number (113315501250).

Almost surely, 2^{11440304331400} is an apocalyptic number.

11440304331400 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 11440304331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317432180000).

11440304331400 is an abundant number, since it is smaller than the sum of its proper divisors (21194560028600).

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

11440304331400 is a wasteful number, since it uses less digits than its factorization.

11440304331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122701 (or 122685 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11440304331400 its reverse (413340304411), we get a palindrome (11853644635811).

The spelling of 11440304331400 in words is "eleven trillion, four hundred forty billion, three hundred four million, three hundred thirty-one thousand, four hundred".