4226716800 has 576 divisors, whose sum is σ = 16314971400. Its totient is φ = 1038090240.

The previous prime is 4226716799. The next prime is 4226716807. The reversal of 4226716800 is 86176224.

It can be written as a sum of positive squares in 12 ways, for example, as 178703424 + 4048013376 = 13368^2 + 63624^2 .

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

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 (4226716807) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 43574352 + ... + 43574448.

Almost surely, 2^4226716800 is an apocalyptic number.

4226716800 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 4226716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157485700).

4226716800 is an abundant number, since it is smaller than the sum of its proper divisors (12088254600).

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

4226716800 is a wasteful number, since it uses less digits than its factorization.

4226716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4226716800 is about 65013.2048125610. The cubic root of 4226716800 is about 1616.8425009208.

The spelling of 4226716800 in words is "four billion, two hundred twenty-six million, seven hundred sixteen thousand, eight hundred".