4085384284800 has 576 divisors, whose sum is σ = 17941657493760. Its totient is φ = 861970636800.

The previous prime is 4085384284799. The next prime is 4085384284819. The reversal of 4085384284800 is 84824835804.

4085384284800 is a `hidden beast` number, since 4 + 0 + 8 + 538 + 4 + 28 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4085384284800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1841385 + ... + 3400215.

Almost surely, 2^{4085384284800} is an apocalyptic number.

4085384284800 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 4085384284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970828746880).

4085384284800 is an abundant number, since it is smaller than the sum of its proper divisors (13856273208960).

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

4085384284800 is a wasteful number, since it uses less digits than its factorization.

4085384284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558881 (or 1558861 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 4085384284800 in words is "four trillion, eighty-five billion, three hundred eighty-four million, two hundred eighty-four thousand, eight hundred".