44412041424000 has 256 divisors, whose sum is σ = 147650254876800. Its totient is φ = 11809076326400.

The previous prime is 44412041423983. The next prime is 44412041424001. The reversal of 44412041424000 is 42414021444.

44412041424000 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 (30).

It is not an unprimeable number, because it can be changed into a prime (44412041424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15322786 + ... + 17989214.

Almost surely, 2^{44412041424000} is an apocalyptic number.

44412041424000 is a gapful number since it is divisible by the number (40) 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 44412041424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73825127438400).

44412041424000 is an abundant number, since it is smaller than the sum of its proper divisors (103238213452800).

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

44412041424000 is a wasteful number, since it uses less digits than its factorization.

44412041424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666808 (or 2666786 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 44412041424000 its reverse (42414021444), we get a palindrome (44454455445444).

The spelling of 44412041424000 in words is "forty-four trillion, four hundred twelve billion, forty-one million, four hundred twenty-four thousand".