4165990732800 has 792 divisors, whose sum is σ = 17008745729976. Its totient is φ = 965140807680.

The previous prime is 4165990732763. The next prime is 4165990732801. The reversal of 4165990732800 is 82370995614.

4165990732800 is a `hidden beast` number, since 4 + 16 + 599 + 0 + 7 + 32 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2508447780864 + 1657542951936 = 1583808^2 + 1287456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165990732801) by changing a digit.

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, 50877492 + ... + 50959308.

It is an arithmetic number, because the mean of its divisors is an integer number (21475689053).

It is a 1-persistent number, because it is pandigital, but 2⋅4165990732800 = 8331981465600 is not.

Almost surely, 2^{4165990732800} is an apocalyptic number.

4165990732800 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 4165990732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8504372864988).

4165990732800 is an abundant number, since it is smaller than the sum of its proper divisors (12842754997176).

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

4165990732800 is a wasteful number, since it uses less digits than its factorization.

4165990732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81883 (or 81857 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4165990732800 in words is "four trillion, one hundred sixty-five billion, nine hundred ninety million, seven hundred thirty-two thousand, eight hundred".