4067795200 has 432 divisors, whose sum is σ = 12409205760. Its totient is φ = 1290240000.

The previous prime is 4067795161. The next prime is 4067795213. The reversal of 4067795200 is 25977604.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40275150 + ... + 40275250.

Almost surely, 2^4067795200 is an apocalyptic number.

4067795200 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 4067795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204602880).

4067795200 is an abundant number, since it is smaller than the sum of its proper divisors (8341410560).

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

4067795200 is a wasteful number, since it uses less digits than its factorization.

4067795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 4067795200 is about 63779.2693592518. The cubic root of 4067795200 is about 1596.3190380687.

The spelling of 4067795200 in words is "four billion, sixty-seven million, seven hundred ninety-five thousand, two hundred".