4114421200 has 30 divisors (see below), whose sum is σ = 9884897894. Its totient is φ = 1645768320.

The previous prime is 4114421183. The next prime is 4114421231. The reversal of 4114421200 is 21244114.

It can be written as a sum of positive squares in 3 ways, for example, as 492307344 + 3622113856 = 22188^2 + 60184^2 .

It is a super-2 number, since 2×4114421200² = 33856923622018880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5142627 + ... + 5143426.

Almost surely, 2^4114421200 is an apocalyptic number.

4114421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114421200 is an abundant number, since it is smaller than the sum of its proper divisors (5770476694).

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

4114421200 is a wasteful number, since it uses less digits than its factorization.

4114421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286071 (or 10286060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4114421200 is about 64143.7541776282. The cubic root of 4114421200 is about 1602.3950069249.

Adding to 4114421200 its reverse (21244114), we get a palindrome (4135665314).

The spelling of 4114421200 in words is "four billion, one hundred fourteen million, four hundred twenty-one thousand, two hundred".