4126208000 has 104 divisors (see below), whose sum is σ = 10299035760. Its totient is φ = 1650278400.

The previous prime is 4126207997. The next prime is 4126208003. The reversal of 4126208000 is 8026214.

It is an interprime number because it is at equal distance from previous prime (4126207997) and next prime (4126208003).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126208003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507971 + ... + 516029.

It is an arithmetic number, because the mean of its divisors is an integer number (99029190).

Almost surely, 2^4126208000 is an apocalyptic number.

4126208000 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 4126208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149517880).

4126208000 is an abundant number, since it is smaller than the sum of its proper divisors (6172827760).

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

4126208000 is an frugal number, since it uses more digits than its factorization.

4126208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4126208000 is about 64235.5664721656. The cubic root of 4126208000 is about 1603.9237033130.

The spelling of 4126208000 in words is "four billion, one hundred twenty-six million, two hundred eight thousand".