4395081600000 has 3168 divisors, whose sum is σ = 20601736404480. Its totient is φ = 905748480000.

The previous prime is 4395081599977. The next prime is 4395081600011. The reversal of 4395081600000 is 61805934.

4395081600000 is a `hidden beast` number, since 43 + 9 + 5 + 0 + 8 + 1 + 600 + 0 + 0 + 0 = 666.

4395081600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102211199979 + ... + 102211200021.

It is an arithmetic number, because the mean of its divisors is an integer number (6503073360).

Almost surely, 2^{4395081600000} is an apocalyptic number.

4395081600000 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 4395081600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300868202240).

4395081600000 is an abundant number, since it is smaller than the sum of its proper divisors (16206654804480).

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

4395081600000 is an equidigital number, since it uses as much as digits as its factorization.

4395081600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 4395081600000 in words is "four trillion, three hundred ninety-five billion, eighty-one million, six hundred thousand".