12404441254400 has 960 divisors, whose sum is σ = 36240012990720. Its totient is φ = 4169229926400.

The previous prime is 12404441254399. The next prime is 12404441254409. The reversal of 12404441254400 is 445214440421.

It is not an unprimeable number, because it can be changed into a prime (12404441254409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8102181635 + ... + 8102183165.

It is an arithmetic number, because the mean of its divisors is an integer number (37750013532).

Almost surely, 2^{12404441254400} is an apocalyptic number.

12404441254400 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 12404441254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120006495360).

12404441254400 is an abundant number, since it is smaller than the sum of its proper divisors (23835571736320).

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

12404441254400 is a wasteful number, since it uses less digits than its factorization.

12404441254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 12404441254400 its reverse (445214440421), we get a palindrome (12849655694821).

The spelling of 12404441254400 in words is "twelve trillion, four hundred four billion, four hundred forty-one million, two hundred fifty-four thousand, four hundred".