4226316800 has 120 divisors (see below), whose sum is σ = 10809820032. Its totient is φ = 1635840000.

The previous prime is 4226316767. The next prime is 4226316811. The reversal of 4226316800 is 86136224.

4226316800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391475 + ... + 402125.

Almost surely, 2^4226316800 is an apocalyptic number.

4226316800 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 4226316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404910016).

4226316800 is an abundant number, since it is smaller than the sum of its proper divisors (6583503232).

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

4226316800 is a wasteful number, since it uses less digits than its factorization.

4226316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10710 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4226316800 is about 65010.1284416513. The cubic root of 4226316800 is about 1616.7914954214.

The spelling of 4226316800 in words is "four billion, two hundred twenty-six million, three hundred sixteen thousand, eight hundred".