11314542402400 has 144 divisors (see below), whose sum is σ = 28151218206720. Its totient is φ = 4439608588800.

The previous prime is 11314542402389. The next prime is 11314542402409. The reversal of 11314542402400 is 420424541311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314542402409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12368785 + ... + 13252015.

It is an arithmetic number, because the mean of its divisors is an integer number (195494570880).

Almost surely, 2^{11314542402400} is an apocalyptic number.

11314542402400 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 11314542402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075609103360).

11314542402400 is an abundant number, since it is smaller than the sum of its proper divisors (16836675804320).

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

11314542402400 is a wasteful number, since it uses less digits than its factorization.

11314542402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883557 (or 883544 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 11314542402400 its reverse (420424541311), we get a palindrome (11734966943711).

The spelling of 11314542402400 in words is "eleven trillion, three hundred fourteen billion, five hundred forty-two million, four hundred two thousand, four hundred".