4214412200 has 48 divisors (see below), whose sum is σ = 10374899580. Its totient is φ = 1586600960.

The previous prime is 4214412161. The next prime is 4214412227. The reversal of 4214412200 is 22144124.

It can be written as a sum of positive squares in 6 ways, for example, as 848323876 + 3366088324 = 29126^2 + 58018^2 .

It is a super-2 number, since 2×4214412200² = 35522540383017680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616367 + ... + 623166.

Almost surely, 2^4214412200 is an apocalyptic number.

4214412200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214412200 is an abundant number, since it is smaller than the sum of its proper divisors (6160487380).

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

4214412200 is a wasteful number, since it uses less digits than its factorization.

4214412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239566 (or 1239557 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4214412200 is about 64918.5042957707. The cubic root of 4214412200 is about 1615.2720197932.

Adding to 4214412200 its reverse (22144124), we get a palindrome (4236556324).

The spelling of 4214412200 in words is "four billion, two hundred fourteen million, four hundred twelve thousand, two hundred".