4210145000 has 80 divisors (see below), whose sum is σ = 9976259700. Its totient is φ = 1664960000.

The previous prime is 4210144997. The next prime is 4210145003. The reversal of 4210145000 is 5410124.

It is an interprime number because it is at equal distance from previous prime (4210144997) and next prime (4210145003).

It can be written as a sum of positive squares in 10 ways, for example, as 408929284 + 3801215716 = 20222^2 + 61654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4210145000.

It is not an unprimeable number, because it can be changed into a prime (4210145003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 440270 + ... + 449730.

Almost surely, 2^4210145000 is an apocalyptic number.

4210145000 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 4210145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988129850).

4210145000 is an abundant number, since it is smaller than the sum of its proper divisors (5766114700).

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

4210145000 is an equidigital number, since it uses as much as digits as its factorization.

4210145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9576 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4210145000 is about 64885.6301502883. The cubic root of 4210145000 is about 1614.7266676313.

Adding to 4210145000 its reverse (5410124), we get a palindrome (4215555124).

The spelling of 4210145000 in words is "four billion, two hundred ten million, one hundred forty-five thousand".