4204021000 has 64 divisors (see below), whose sum is σ = 9927918000. Its totient is φ = 1666137600.

The previous prime is 4204020943. The next prime is 4204021009. The reversal of 4204021000 is 1204024.

It can be written as a sum of positive squares in 8 ways, for example, as 530933764 + 3673087236 = 23042^2 + 60606^2 .

It is not an unprimeable number, because it can be changed into a prime (4204021009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89716 + ... + 128284.

Almost surely, 2^4204021000 is an apocalyptic number.

4204021000 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 4204021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963959000).

4204021000 is an abundant number, since it is smaller than the sum of its proper divisors (5723897000).

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

4204021000 is a wasteful number, since it uses less digits than its factorization.

4204021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38699 (or 38685 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4204021000 is about 64838.4222510079. The cubic root of 4204021000 is about 1613.9433704149.

Adding to 4204021000 its reverse (1204024), we get a palindrome (4205225024).

The spelling of 4204021000 in words is "four billion, two hundred four million, twenty-one thousand".