4223410000 has 100 divisors (see below), whose sum is σ = 10475712324. Its totient is φ = 1648000000.

The previous prime is 4223409979. The next prime is 4223410031. The reversal of 4223410000 is 143224.

It can be written as a sum of positive squares in 10 ways, for example, as 3204012816 + 1019397184 = 56604^2 + 31928^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 404850 + ... + 415150.

Almost surely, 2^4223410000 is an apocalyptic number.

4223410000 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 4223410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237856162).

4223410000 is an abundant number, since it is smaller than the sum of its proper divisors (6252302324).

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

4223410000 is a wasteful number, since it uses less digits than its factorization.

4223410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4223410000 is about 64987.7680798471. The cubic root of 4223410000 is about 1616.4207417516.

Adding to 4223410000 its reverse (143224), we get a palindrome (4223553224).

The spelling of 4223410000 in words is "four billion, two hundred twenty-three million, four hundred ten thousand".