4128546391200 has 1440 divisors, whose sum is σ = 19005319206720. Its totient is φ = 857761228800.

The previous prime is 4128546391199. The next prime is 4128546391201. The reversal of 4128546391200 is 21936458214.

4128546391200 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 5 + 4 + 639 + 1 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4128546391199) and next prime (4128546391201).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4128546391201) 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 239 ways as a sum of consecutive naturals, for example, 570473982 + ... + 570481218.

It is an arithmetic number, because the mean of its divisors is an integer number (13198138338).

Almost surely, 2^{4128546391200} is an apocalyptic number.

4128546391200 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 4128546391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502659603360).

4128546391200 is an abundant number, since it is smaller than the sum of its proper divisors (14876772815520).

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

4128546391200 is a wasteful number, since it uses less digits than its factorization.

4128546391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4128546391200 in words is "four trillion, one hundred twenty-eight billion, five hundred forty-six million, three hundred ninety-one thousand, two hundred".