12314044400 has 240 divisors, whose sum is σ = 35791637760. Its totient is φ = 3977164800.

The previous prime is 12314044399. The next prime is 12314044411. The reversal of 12314044400 is 444041321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11224652 + ... + 11225748.

It is an arithmetic number, because the mean of its divisors is an integer number (149131824).

Almost surely, 2^12314044400 is an apocalyptic number.

12314044400 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 12314044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895818880).

12314044400 is an abundant number, since it is smaller than the sum of its proper divisors (23477593360).

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

12314044400 is a wasteful number, since it uses less digits than its factorization.

12314044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12314044400 its reverse (444041321), we get a palindrome (12758085721).

The spelling of 12314044400 in words is "twelve billion, three hundred fourteen million, forty-four thousand, four hundred".