4406416436400 has 480 divisors, whose sum is σ = 15814302105600. Its totient is φ = 1039627084800.

The previous prime is 4406416436363. The next prime is 4406416436413. The reversal of 4406416436400 is 46346146044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111031761 + ... + 111071439.

It is an arithmetic number, because the mean of its divisors is an integer number (32946462720).

Almost surely, 2^{4406416436400} is an apocalyptic number.

4406416436400 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 4406416436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907151052800).

4406416436400 is an abundant number, since it is smaller than the sum of its proper divisors (11407885669200).

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

4406416436400 is a wasteful number, since it uses less digits than its factorization.

4406416436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39937 (or 39926 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 4406416436400 in words is "four trillion, four hundred six billion, four hundred sixteen million, four hundred thirty-six thousand, four hundred".