4124196000 has 288 divisors, whose sum is σ = 15182451648. Its totient is φ = 1099526400.

The previous prime is 4124195989. The next prime is 4124196001. The reversal of 4124196000 is 6914214.

4124196000 is a `hidden beast` number, since 4 + 12 + 41 + 9 + 600 + 0 = 666.

4124196000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4124196001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969879 + ... + 974121.

It is an arithmetic number, because the mean of its divisors is an integer number (52716846).

Almost surely, 2^4124196000 is an apocalyptic number.

4124196000 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 4124196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591225824).

4124196000 is an abundant number, since it is smaller than the sum of its proper divisors (11058255648).

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

4124196000 is an equidigital number, since it uses as much as digits as its factorization.

4124196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4124196000 is about 64219.9034567945. The cubic root of 4124196000 is about 1603.6629619609.

The spelling of 4124196000 in words is "four billion, one hundred twenty-four million, one hundred ninety-six thousand".