4406401916928 has 252 divisors, whose sum is σ = 13991220075924. Its totient is φ = 1335270604800.

The previous prime is 4406401916911. The next prime is 4406401916929. The reversal of 4406401916928 is 8296191046044.

4406401916928 is a `hidden beast` number, since 4 + 406 + 40 + 19 + 169 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406401916929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8674123 + ... + 9168053.

It is an arithmetic number, because the mean of its divisors is an integer number (55520714587).

Almost surely, 2^{4406401916928} is an apocalyptic number.

4406401916928 is a gapful number since it is divisible by the number (48) 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 4406401916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995610037962).

4406401916928 is an abundant number, since it is smaller than the sum of its proper divisors (9584818158996).

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

4406401916928 is a wasteful number, since it uses less digits than its factorization.

4406401916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493985 (or 493947 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4406401916928 in words is "four trillion, four hundred six billion, four hundred one million, nine hundred sixteen thousand, nine hundred twenty-eight".