4069384300800 has 972 divisors, whose sum is σ = 18226343165940. Its totient is φ = 858587627520.

The previous prime is 4069384300781. The next prime is 4069384300831. The reversal of 4069384300800 is 80034839604.

4069384300800 is a `hidden beast` number, since 406 + 93 + 84 + 3 + 0 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 164745068544 + 3904639232256 = 405888^2 + 1976016^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 36635746 + ... + 36746654.

Almost surely, 2^{4069384300800} is an apocalyptic number.

4069384300800 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 4069384300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113171582970).

4069384300800 is an abundant number, since it is smaller than the sum of its proper divisors (14156958865140).

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

4069384300800 is a wasteful number, since it uses less digits than its factorization.

4069384300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110968 (or 110939 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4069384300800 in words is "four trillion, sixty-nine billion, three hundred eighty-four million, three hundred thousand, eight hundred".