12400244010 has 384 divisors, whose sum is σ = 41701630464. Its totient is φ = 2481684480.

The previous prime is 12400243991. The next prime is 12400244011. The reversal of 12400244010 is 1044200421.

12400244010 is a `hidden beast` number, since 1 + 240 + 0 + 24 + 401 + 0 = 666.

12400244010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12400244011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35127994 + ... + 35128346.

It is an arithmetic number, because the mean of its divisors is an integer number (108597996).

Almost surely, 2^12400244010 is an apocalyptic number.

12400244010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400244010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850815232).

12400244010 is an abundant number, since it is smaller than the sum of its proper divisors (29301386454).

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

12400244010 is a wasteful number, since it uses less digits than its factorization.

12400244010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12400244010 its reverse (1044200421), we get a palindrome (13444444431).

The spelling of 12400244010 in words is "twelve billion, four hundred million, two hundred forty-four thousand, ten".