4123872000 has 720 divisors, whose sum is σ = 16127503392. Its totient is φ = 1045094400.

The previous prime is 4123871993. The next prime is 4123872001. The reversal of 4123872000 is 2783214.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (4123872001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95903979 + ... + 95904021.

Almost surely, 2^4123872000 is an apocalyptic number.

4123872000 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 4123872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063751696).

4123872000 is an abundant number, since it is smaller than the sum of its proper divisors (12003631392).

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

4123872000 is an equidigital number, since it uses as much as digits as its factorization.

4123872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4123872000 is about 64217.3808248203. The cubic root of 4123872000 is about 1603.6209658638.

The spelling of 4123872000 in words is "four billion, one hundred twenty-three million, eight hundred seventy-two thousand".