4105214064 has 240 divisors, whose sum is σ = 13831114752. Its totient is φ = 1111283712.

The previous prime is 4105214063. The next prime is 4105214117. The reversal of 4105214064 is 4604125014.

4105214064 is a `hidden beast` number, since 41 + 0 + 521 + 40 + 64 = 666.

It is a super-2 number, since 2×4105214064² = 33705565022526792192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105214063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2619009 + ... + 2620575.

Almost surely, 2^4105214064 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 4105214064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915557376).

4105214064 is an abundant number, since it is smaller than the sum of its proper divisors (9725900688).

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

4105214064 is a wasteful number, since it uses less digits than its factorization.

4105214064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4105214064 is about 64071.9444374837. The cubic root of 4105214064 is about 1601.1988494174.

Adding to 4105214064 its reverse (4604125014), we get a palindrome (8709339078).

The spelling of 4105214064 in words is "four billion, one hundred five million, two hundred fourteen thousand, sixty-four".