4114129536 has 256 divisors, whose sum is σ = 13677465600. Its totient is φ = 1206144000.

The previous prime is 4114129529. The next prime is 4114129549. The reversal of 4114129536 is 6359214114.

It is a happy number.

4114129536 is a `hidden beast` number, since 4 + 114 + 1 + 2 + 9 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4114129536.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1176751 + ... + 1180241.

It is an arithmetic number, because the mean of its divisors is an integer number (53427600).

Almost surely, 2^4114129536 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 4114129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838732800).

4114129536 is an abundant number, since it is smaller than the sum of its proper divisors (9563336064).

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

4114129536 is a wasteful number, since it uses less digits than its factorization.

4114129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3538 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4114129536 is about 64141.4806190191. The cubic root of 4114129536 is about 1602.3571423862.

The spelling of 4114129536 in words is "four billion, one hundred fourteen million, one hundred twenty-nine thousand, five hundred thirty-six".