4213016064 has 400 divisors, whose sum is σ = 13546811520. Its totient is φ = 1300561920.

The previous prime is 4213016023. The next prime is 4213016069. The reversal of 4213016064 is 4606103124.

4213016064 is a `hidden beast` number, since 4 + 21 + 30 + 1 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213016069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37283272 + ... + 37283384.

Almost surely, 2^4213016064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773405760).

4213016064 is an abundant number, since it is smaller than the sum of its proper divisors (9333795456).

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

4213016064 is a wasteful number, since it uses less digits than its factorization.

4213016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4213016064 is about 64907.7504154935. The cubic root of 4213016064 is about 1615.0936328375.

Adding to 4213016064 its reverse (4606103124), we get a palindrome (8819119188).

The spelling of 4213016064 in words is "four billion, two hundred thirteen million, sixteen thousand, sixty-four".