4202020200 has 384 divisors, whose sum is σ = 15556147200. Its totient is φ = 918328320.

The previous prime is 4202020189. The next prime is 4202020201. The reversal of 4202020200 is 20202024.

It is a happy number.

It is a super-2 number, since 2×4202020200² = 35313947522416080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4202020201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9571581 + ... + 9572019.

It is an arithmetic number, because the mean of its divisors is an integer number (40510800).

Almost surely, 2^4202020200 is an apocalyptic number.

4202020200 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 4202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778073600).

4202020200 is an abundant number, since it is smaller than the sum of its proper divisors (11354127000).

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

4202020200 is a wasteful number, since it uses less digits than its factorization.

4202020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4202020200 is about 64822.9912916706. The cubic root of 4202020200 is about 1613.6872909525.

Adding to 4202020200 its reverse (20202024), we get a palindrome (4222222224).

The spelling of 4202020200 in words is "four billion, two hundred two million, twenty thousand, two hundred".