4214313200 has 60 divisors (see below), whose sum is σ = 10197862920. Its totient is φ = 1673575680.

The previous prime is 4214313167. The next prime is 4214313211. The reversal of 4214313200 is 23134124.

4214313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 17702 + ... + 93498.

It is an arithmetic number, because the mean of its divisors is an integer number (169964382).

Almost surely, 2^4214313200 is an apocalyptic number.

4214313200 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 4214313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098931460).

4214313200 is an abundant number, since it is smaller than the sum of its proper divisors (5983549720).

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

4214313200 is a wasteful number, since it uses less digits than its factorization.

4214313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75954 (or 75943 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4214313200 is about 64917.7417968309. The cubic root of 4214313200 is about 1615.2593716725.

Adding to 4214313200 its reverse (23134124), we get a palindrome (4237447324).

The spelling of 4214313200 in words is "four billion, two hundred fourteen million, three hundred thirteen thousand, two hundred".