12344495400 has 144 divisors (see below), whose sum is σ = 42076101600. Its totient is φ = 3242701440.

The previous prime is 12344495357. The next prime is 12344495419. The reversal of 12344495400 is 459444321.

12344495400 is a `hidden beast` number, since 123 + 4 + 4 + 495 + 40 + 0 = 666.

12344495400 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 (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 69421 + ... + 171779.

It is an arithmetic number, because the mean of its divisors is an integer number (292195150).

Almost surely, 2^12344495400 is an apocalyptic number.

12344495400 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 12344495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038050800).

12344495400 is an abundant number, since it is smaller than the sum of its proper divisors (29731606200).

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

12344495400 is a wasteful number, since it uses less digits than its factorization.

12344495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102448 (or 102436 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12344495400 in words is "twelve billion, three hundred forty-four million, four hundred ninety-five thousand, four hundred".