12040314400 has 72 divisors (see below), whose sum is σ = 29663296740. Its totient is φ = 4771906560.

The previous prime is 12040314361. The next prime is 12040314431. The reversal of 12040314400 is 441304021.

It can be written as a sum of positive squares in 6 ways, for example, as 1789966864 + 10250347536 = 42308^2 + 101244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18162 + ... + 156238.

Almost surely, 2^12040314400 is an apocalyptic number.

12040314400 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 12040314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831648370).

12040314400 is an abundant number, since it is smaller than the sum of its proper divisors (17622982340).

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

12040314400 is a wasteful number, since it uses less digits than its factorization.

12040314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138206 (or 138193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12040314400 its reverse (441304021), we get a palindrome (12481618421).

The spelling of 12040314400 in words is "twelve billion, forty million, three hundred fourteen thousand, four hundred".