4123944000 has 672 divisors, whose sum is σ = 16615452672. Its totient is φ = 967680000.

The previous prime is 4123943987. The next prime is 4123944007. The reversal of 4123944000 is 4493214.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4123944007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32471937 + ... + 32472063.

It is an arithmetic number, because the mean of its divisors is an integer number (24725376).

Almost surely, 2^4123944000 is an apocalyptic number.

4123944000 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 4123944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307726336).

4123944000 is an abundant number, since it is smaller than the sum of its proper divisors (12491508672).

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

4123944000 is a wasteful number, since it uses less digits than its factorization.

4123944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4123944000 is about 64217.9414182672. The cubic root of 4123944000 is about 1603.6302985199.

The spelling of 4123944000 in words is "four billion, one hundred twenty-three million, nine hundred forty-four thousand".