12442033454400 has 504 divisors, whose sum is σ = 48434453934048. Its totient is φ = 3004224000000.

The previous prime is 12442033454377. The next prime is 12442033454413. The reversal of 12442033454400 is 445433024421.

12442033454400 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 203 + 3 + 4 + 5 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39601930 + ... + 39914870.

It is an arithmetic number, because the mean of its divisors is an integer number (96100107012).

Almost surely, 2^{12442033454400} is an apocalyptic number.

12442033454400 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 12442033454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217226967024).

12442033454400 is an abundant number, since it is smaller than the sum of its proper divisors (35992420479648).

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

12442033454400 is a wasteful number, since it uses less digits than its factorization.

12442033454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313231 (or 313213 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 12442033454400 its reverse (445433024421), we get a palindrome (12887466478821).

The spelling of 12442033454400 in words is "twelve trillion, four hundred forty-two billion, thirty-three million, four hundred fifty-four thousand, four hundred".