4114639620 has 720 divisors, whose sum is σ = 16963309440. Its totient is φ = 815173632.

The previous prime is 4114639561. The next prime is 4114639621. The reversal of 4114639620 is 269364114.

4114639620 is a `hidden beast` number, since 4 + 1 + 14 + 639 + 6 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4114639621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36412684 + ... + 36412796.

It is an arithmetic number, because the mean of its divisors is an integer number (23560152).

Almost surely, 2^4114639620 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 4114639620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481654720).

4114639620 is an abundant number, since it is smaller than the sum of its proper divisors (12848669820).

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

4114639620 is a wasteful number, since it uses less digits than its factorization.

4114639620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4114639620 is about 64145.4567370129. The cubic root of 4114639620 is about 1602.4233615753.

The spelling of 4114639620 in words is "four billion, one hundred fourteen million, six hundred thirty-nine thousand, six hundred twenty".