4408403048064 has 192 divisors, whose sum is σ = 13420419480000. Its totient is φ = 1385130295296.

The previous prime is 4408403048041. The next prime is 4408403048107. The reversal of 4408403048064 is 4608403048044.

4408403048064 is a `hidden beast` number, since 4 + 4 + 0 + 84 + 0 + 30 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3849664 + ... + 4861760.

It is an arithmetic number, because the mean of its divisors is an integer number (69898018125).

Almost surely, 2^{4408403048064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408403048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710209740000).

4408403048064 is an abundant number, since it is smaller than the sum of its proper divisors (9012016431936).

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

4408403048064 is a wasteful number, since it uses less digits than its factorization.

4408403048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012335 (or 1012320 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 4408403048064 in words is "four trillion, four hundred eight billion, four hundred three million, forty-eight thousand, sixty-four".