4202000000 has 224 divisors, whose sum is σ = 11474853120. Its totient is φ = 1520000000.

The previous prime is 4201999999. The next prime is 4202000009. The reversal of 4202000000 is 2024.

4202000000 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (4202000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21999905 + ... + 22000095.

Almost surely, 2^4202000000 is an apocalyptic number.

4202000000 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 4202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737426560).

4202000000 is an abundant number, since it is smaller than the sum of its proper divisors (7272853120).

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

4202000000 is an frugal number, since it uses more digits than its factorization.

4202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4202000000 is about 64822.8354825674. The cubic root of 4202000000 is about 1613.6847051696.

Adding to 4202000000 its reverse (2024), we get a palindrome (4202002024).

The spelling of 4202000000 in words is "four billion, two hundred two million", and thus it is an aban number.