4408400832000 has 1280 divisors, whose sum is σ = 17042466355200. Its totient is φ = 999161856000.

The previous prime is 4408400831957. The next prime is 4408400832007. The reversal of 4408400832000 is 2380048044.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408400832007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7144895692 + ... + 7144896308.

It is an arithmetic number, because the mean of its divisors is an integer number (13314426840).

Almost surely, 2^{4408400832000} is an apocalyptic number.

4408400832000 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 4408400832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521233177600).

4408400832000 is an abundant number, since it is smaller than the sum of its proper divisors (12634065523200).

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

4408400832000 is a wasteful number, since it uses less digits than its factorization.

4408400832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 4408400832000 in words is "four trillion, four hundred eight billion, four hundred million, eight hundred thirty-two thousand".