4163374800 has 360 divisors, whose sum is σ = 16477867224. Its totient is φ = 964362240.

The previous prime is 4163374799. The next prime is 4163374801. The reversal of 4163374800 is 84733614.

It is an interprime number because it is at equal distance from previous prime (4163374799) and next prime (4163374801).

It can be written as a sum of positive squares in 12 ways, for example, as 332259984 + 3831114816 = 18228^2 + 61896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163374801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792984 + ... + 798216.

Almost surely, 2^4163374800 is an apocalyptic number.

4163374800 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 4163374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238933612).

4163374800 is an abundant number, since it is smaller than the sum of its proper divisors (12314492424).

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

4163374800 is a wasteful number, since it uses less digits than its factorization.

4163374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4163374800 is about 64524.2187089468. The cubic root of 4163374800 is about 1608.7250943850.

The spelling of 4163374800 in words is "four billion, one hundred sixty-three million, three hundred seventy-four thousand, eight hundred".