4134813696 has 240 divisors, whose sum is σ = 13211654400. Its totient is φ = 1270480896.

The previous prime is 4134813689. The next prime is 4134813713. The reversal of 4134813696 is 6963184314.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5750425 + ... + 5751143.

It is an arithmetic number, because the mean of its divisors is an integer number (55048560).

Almost surely, 2^4134813696 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 4134813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605827200).

4134813696 is an abundant number, since it is smaller than the sum of its proper divisors (9076840704).

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

4134813696 is an equidigital number, since it uses as much as digits as its factorization.

4134813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 737 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4134813696 is about 64302.5170269407. The cubic root of 4134813696 is about 1605.0379866981.

The spelling of 4134813696 in words is "four billion, one hundred thirty-four million, eight hundred thirteen thousand, six hundred ninety-six".