4085452800000 has 2304 divisors, whose sum is σ = 17889909972480. Its totient is φ = 884736000000.

The previous prime is 4085452799947. The next prime is 4085452800017. The reversal of 4085452800000 is 82545804.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 131788799985 + ... + 131788800015.

It is an arithmetic number, because the mean of its divisors is an integer number (7764717870).

Almost surely, 2^{4085452800000} is an apocalyptic number.

4085452800000 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 4085452800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944954986240).

4085452800000 is an abundant number, since it is smaller than the sum of its proper divisors (13804457172480).

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

4085452800000 is an equidigital number, since it uses as much as digits as its factorization.

4085452800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 4085452800000 in words is "four trillion, eighty-five billion, four hundred fifty-two million, eight hundred thousand".