4213225314 has 64 divisors (see below), whose sum is σ = 9787392000. Its totient is φ = 1341858960.

The previous prime is 4213225297. The next prime is 4213225321. The reversal of 4213225314 is 4135223124.

4213225314 is a `hidden beast` number, since 4 + 21 + 322 + 5 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 116317 + ... + 148175.

It is an arithmetic number, because the mean of its divisors is an integer number (152928000).

Almost surely, 2^4213225314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213225314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893696000).

4213225314 is an abundant number, since it is smaller than the sum of its proper divisors (5574166686).

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

4213225314 is a wasteful number, since it uses less digits than its factorization.

4213225314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31980 (or 31974 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4213225314 is about 64909.3622985159. The cubic root of 4213225314 is about 1615.1203716189.

Adding to 4213225314 its reverse (4135223124), we get a palindrome (8348448438).

The spelling of 4213225314 in words is "four billion, two hundred thirteen million, two hundred twenty-five thousand, three hundred fourteen".