4304428128000 has 5184 divisors, whose sum is σ = 22229055313920. Its totient is φ = 815173632000.

The previous prime is 4304428127981. The next prime is 4304428128041. The reversal of 4304428128000 is 8218244034.

4304428128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 54486431961 + ... + 54486432039.

Almost surely, 2^{4304428128000} is an apocalyptic number.

4304428128000 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 4304428128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114527656960).

4304428128000 is an abundant number, since it is smaller than the sum of its proper divisors (17924627185920).

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

4304428128000 is a wasteful number, since it uses less digits than its factorization.

4304428128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4304428128000 in words is "four trillion, three hundred four billion, four hundred twenty-eight million, one hundred twenty-eight thousand".