4068403200 has 504 divisors, whose sum is σ = 15262597350. Its totient is φ = 1074954240.

The previous prime is 4068403159. The next prime is 4068403211. The reversal of 4068403200 is 23048604.

It can be written as a sum of positive squares in 3 ways, for example, as 3351020544 + 717382656 = 57888^2 + 26784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324746 + ... + 37324854.

Almost surely, 2^4068403200 is an apocalyptic number.

4068403200 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 4068403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631298675).

4068403200 is an abundant number, since it is smaller than the sum of its proper divisors (11194194150).

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

4068403200 is an equidigital number, since it uses as much as digits as its factorization.

4068403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4068403200 is about 63784.0356202083. The cubic root of 4068403200 is about 1596.3985662960.

The spelling of 4068403200 in words is "four billion, sixty-eight million, four hundred three thousand, two hundred".