4164307795200 has 432 divisors, whose sum is σ = 15712025366016. Its totient is φ = 951499776000.

The previous prime is 4164307795183. The next prime is 4164307795217. The reversal of 4164307795200 is 25977034614.

It is an interprime number because it is at equal distance from previous prime (4164307795183) and next prime (4164307795217).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4164307795200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736912375 + ... + 736918025.

It is an arithmetic number, because the mean of its divisors is an integer number (36370429088).

Almost surely, 2^{4164307795200} is an apocalyptic number.

4164307795200 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 4164307795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856012683008).

4164307795200 is an abundant number, since it is smaller than the sum of its proper divisors (11547717570816).

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

4164307795200 is a wasteful number, since it uses less digits than its factorization.

4164307795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 4164307795200 in words is "four trillion, one hundred sixty-four billion, three hundred seven million, seven hundred ninety-five thousand, two hundred".