4416012008800 has 144 divisors (see below), whose sum is σ = 12321683049312. Its totient is φ = 1513937203200.

The previous prime is 4416012008753. The next prime is 4416012008801. The reversal of 4416012008800 is 88002106144.

It is a super-2 number, since 2×4416012008800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416012008801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91440660 + ... + 91488940.

It is an arithmetic number, because the mean of its divisors is an integer number (85567243398).

Almost surely, 2^{4416012008800} is an apocalyptic number.

4416012008800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4416012008800 is an abundant number, since it is smaller than the sum of its proper divisors (7905671040512).

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

4416012008800 is a wasteful number, since it uses less digits than its factorization.

4416012008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64641 (or 64628 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 4416012008800 in words is "four trillion, four hundred sixteen billion, twelve million, eight thousand, eight hundred".