12414004400 has 60 divisors (see below), whose sum is σ = 34085316912. Its totient is φ = 4256229120.

The previous prime is 12414004397. The next prime is 12414004459. The reversal of 12414004400 is 440041421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2213987 + ... + 2219586.

Almost surely, 2^12414004400 is an apocalyptic number.

12414004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414004400 is an abundant number, since it is smaller than the sum of its proper divisors (21671312512).

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

12414004400 is a wasteful number, since it uses less digits than its factorization.

12414004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433598 (or 4433587 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12414004400 its reverse (440041421), we get a palindrome (12854045821).

The spelling of 12414004400 in words is "twelve billion, four hundred fourteen million, four thousand, four hundred".