4408128734688 has 216 divisors, whose sum is σ = 14588082709200. Its totient is φ = 1258961356800.

The previous prime is 4408128734629. The next prime is 4408128734717. The reversal of 4408128734688 is 8864378218044.

4408128734688 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 1 + 287 + 346 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35938488 + ... + 36060936.

It is an arithmetic number, because the mean of its divisors is an integer number (67537419950).

Almost surely, 2^{4408128734688} is an apocalyptic number.

4408128734688 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 4408128734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294041354600).

4408128734688 is an abundant number, since it is smaller than the sum of its proper divisors (10179953974512).

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

4408128734688 is a wasteful number, since it uses less digits than its factorization.

4408128734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125030 (or 125012 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 4408128734688 in words is "four trillion, four hundred eight billion, one hundred twenty-eight million, seven hundred thirty-four thousand, six hundred eighty-eight".