11314442400 has 72 divisors (see below), whose sum is σ = 36828517824. Its totient is φ = 3017184000.

The previous prime is 11314442383. The next prime is 11314442401. The reversal of 11314442400 is 424441311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11314442401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2354776 + ... + 2359575.

It is an arithmetic number, because the mean of its divisors is an integer number (511507192).

Almost surely, 2^11314442400 is an apocalyptic number.

11314442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314442400 is an abundant number, since it is smaller than the sum of its proper divisors (25514075424).

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

11314442400 is a wasteful number, since it uses less digits than its factorization.

11314442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714374 (or 4714361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11314442400 its reverse (424441311), we get a palindrome (11738883711).

The spelling of 11314442400 in words is "eleven billion, three hundred fourteen million, four hundred forty-two thousand, four hundred".